Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(82,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bt (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 82.12 | ||
Character | \(\chi\) | \(=\) | 403.82 |
Dual form | 403.2.bt.a.231.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{4}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.219621 | + | 1.03324i | −0.155295 | + | 0.730608i | 0.829725 | + | 0.558172i | \(0.188497\pi\) |
−0.985021 | + | 0.172436i | \(0.944836\pi\) | |||||||
\(3\) | 2.09766 | − | 0.445872i | 1.21109 | − | 0.257424i | 0.442262 | − | 0.896886i | \(-0.354176\pi\) |
0.768823 | + | 0.639462i | \(0.220843\pi\) | |||||||
\(4\) | 0.807749 | + | 0.359633i | 0.403875 | + | 0.179817i | ||||
\(5\) | −3.00000 | + | 1.73205i | −1.34164 | + | 0.774596i | −0.987048 | − | 0.160425i | \(-0.948713\pi\) |
−0.354592 | + | 0.935021i | \(0.615380\pi\) | |||||||
\(6\) | 2.26530i | 0.924805i | ||||||||
\(7\) | −0.0849215 | − | 0.116884i | −0.0320973 | − | 0.0441781i | 0.792667 | − | 0.609655i | \(-0.208692\pi\) |
−0.824764 | + | 0.565477i | \(0.808692\pi\) | |||||||
\(8\) | −1.79076 | + | 2.46477i | −0.633130 | + | 0.871428i | ||||
\(9\) | 1.46075 | − | 0.650366i | 0.486915 | − | 0.216789i | ||||
\(10\) | −1.13075 | − | 3.48010i | −0.357575 | − | 1.10050i | ||||
\(11\) | 1.07251 | + | 1.47618i | 0.323374 | + | 0.445086i | 0.939493 | − | 0.342567i | \(-0.111296\pi\) |
−0.616120 | + | 0.787652i | \(0.711296\pi\) | |||||||
\(12\) | 1.85474 | + | 0.394236i | 0.535416 | + | 0.113806i | ||||
\(13\) | 1.10133 | + | 3.43323i | 0.305453 | + | 0.952207i | ||||
\(14\) | 0.139420 | − | 0.0620736i | 0.0372614 | − | 0.0165899i | ||||
\(15\) | −5.52071 | + | 4.97087i | −1.42544 | + | 1.28347i | ||||
\(16\) | −0.970120 | − | 1.07743i | −0.242530 | − | 0.269357i | ||||
\(17\) | −1.35086 | − | 0.981457i | −0.327632 | − | 0.238038i | 0.411793 | − | 0.911277i | \(-0.364903\pi\) |
−0.739425 | + | 0.673239i | \(0.764903\pi\) | |||||||
\(18\) | 0.351171 | + | 1.65213i | 0.0827717 | + | 0.389410i | ||||
\(19\) | −0.521127 | + | 0.169324i | −0.119555 | + | 0.0388457i | −0.368183 | − | 0.929753i | \(-0.620020\pi\) |
0.248629 | + | 0.968599i | \(0.420020\pi\) | |||||||
\(20\) | −3.04615 | + | 0.320163i | −0.681140 | + | 0.0715907i | ||||
\(21\) | −0.230252 | − | 0.207320i | −0.0502451 | − | 0.0452409i | ||||
\(22\) | −1.76079 | + | 0.783954i | −0.375401 | + | 0.167139i | ||||
\(23\) | 6.67824 | − | 2.97334i | 1.39251 | − | 0.619985i | 0.432931 | − | 0.901427i | \(-0.357479\pi\) |
0.959578 | + | 0.281442i | \(0.0908128\pi\) | |||||||
\(24\) | −2.65744 | + | 5.96870i | −0.542447 | + | 1.21836i | ||||
\(25\) | 3.49999 | − | 6.06216i | 0.699998 | − | 1.21243i | ||||
\(26\) | −3.78921 | + | 0.383919i | −0.743125 | + | 0.0752927i | ||||
\(27\) | −2.43070 | + | 1.76601i | −0.467788 | + | 0.339868i | ||||
\(28\) | −0.0265598 | − | 0.124954i | −0.00501932 | − | 0.0236141i | ||||
\(29\) | 4.01836 | + | 0.854130i | 0.746192 | + | 0.158608i | 0.565289 | − | 0.824893i | \(-0.308765\pi\) |
0.180903 | + | 0.983501i | \(0.442098\pi\) | |||||||
\(30\) | −3.92361 | − | 6.79590i | −0.716350 | − | 1.24076i | ||||
\(31\) | 3.75098 | − | 4.11462i | 0.673697 | − | 0.739008i | ||||
\(32\) | −3.95061 | + | 2.28089i | −0.698377 | + | 0.403208i | ||||
\(33\) | 2.90795 | + | 2.61833i | 0.506209 | + | 0.455793i | ||||
\(34\) | 1.31075 | − | 1.18021i | 0.224792 | − | 0.202404i | ||||
\(35\) | 0.457214 | + | 0.203565i | 0.0772832 | + | 0.0344087i | ||||
\(36\) | 1.41381 | 0.235635 | ||||||||
\(37\) | 9.71233 | − | 5.60742i | 1.59670 | − | 0.921854i | 0.604579 | − | 0.796545i | \(-0.293341\pi\) |
0.992118 | − | 0.125309i | \(-0.0399921\pi\) | |||||||
\(38\) | −0.0605016 | − | 0.575634i | −0.00981465 | − | 0.0933801i | ||||
\(39\) | 3.84099 | + | 6.71071i | 0.615051 | + | 1.07457i | ||||
\(40\) | 1.10317 | − | 10.4960i | 0.174427 | − | 1.65956i | ||||
\(41\) | −1.19636 | + | 0.388722i | −0.186841 | + | 0.0607082i | −0.400943 | − | 0.916103i | \(-0.631317\pi\) |
0.214102 | + | 0.976811i | \(0.431317\pi\) | |||||||
\(42\) | 0.264778 | − | 0.192373i | 0.0408562 | − | 0.0296837i | ||||
\(43\) | −1.73156 | − | 5.32918i | −0.264060 | − | 0.812693i | −0.991908 | − | 0.126955i | \(-0.959480\pi\) |
0.727849 | − | 0.685738i | \(-0.240520\pi\) | |||||||
\(44\) | 0.335434 | + | 1.57809i | 0.0505686 | + | 0.237907i | ||||
\(45\) | −3.25577 | + | 4.48118i | −0.485341 | + | 0.668015i | ||||
\(46\) | 1.60548 | + | 7.55320i | 0.236715 | + | 1.11366i | ||||
\(47\) | −5.37460 | − | 1.74631i | −0.783967 | − | 0.254726i | −0.110434 | − | 0.993883i | \(-0.535224\pi\) |
−0.673533 | + | 0.739157i | \(0.735224\pi\) | |||||||
\(48\) | −2.51538 | − | 1.82753i | −0.363063 | − | 0.263781i | ||||
\(49\) | 2.15667 | − | 6.63754i | 0.308096 | − | 0.948221i | ||||
\(50\) | 5.49497 | + | 4.94769i | 0.777106 | + | 0.699709i | ||||
\(51\) | −3.27125 | − | 1.45645i | −0.458067 | − | 0.203944i | ||||
\(52\) | −0.345109 | + | 3.16926i | −0.0478580 | + | 0.439498i | ||||
\(53\) | −1.36575 | + | 12.9943i | −0.187601 | + | 1.78490i | 0.345069 | + | 0.938577i | \(0.387856\pi\) |
−0.532670 | + | 0.846323i | \(0.678811\pi\) | |||||||
\(54\) | −1.29087 | − | 2.89934i | −0.175665 | − | 0.394550i | ||||
\(55\) | −5.77434 | − | 2.57090i | −0.778612 | − | 0.346661i | ||||
\(56\) | 0.440167 | 0.0588198 | ||||||||
\(57\) | −1.01765 | + | 0.587541i | −0.134791 | + | 0.0778217i | ||||
\(58\) | −1.76503 | + | 3.96433i | −0.231760 | + | 0.520542i | ||||
\(59\) | −9.02847 | − | 2.93353i | −1.17541 | − | 0.381913i | −0.344748 | − | 0.938695i | \(-0.612036\pi\) |
−0.830659 | + | 0.556782i | \(0.812036\pi\) | |||||||
\(60\) | −6.24704 | + | 2.02979i | −0.806489 | + | 0.262044i | ||||
\(61\) | 1.43720 | + | 2.48930i | 0.184014 | + | 0.318722i | 0.943244 | − | 0.332101i | \(-0.107757\pi\) |
−0.759230 | + | 0.650823i | \(0.774424\pi\) | |||||||
\(62\) | 3.42758 | + | 4.77931i | 0.435303 | + | 0.606973i | ||||
\(63\) | −0.200066 | − | 0.115508i | −0.0252060 | − | 0.0145527i | ||||
\(64\) | −2.38510 | − | 7.34057i | −0.298137 | − | 0.917571i | ||||
\(65\) | −9.25050 | − | 8.39214i | −1.14738 | − | 1.04092i | ||||
\(66\) | −3.34400 | + | 2.42955i | −0.411617 | + | 0.299058i | ||||
\(67\) | − | 0.744299i | − | 0.0909306i | −0.998966 | − | 0.0454653i | \(-0.985523\pi\) | ||
0.998966 | − | 0.0454653i | \(-0.0144770\pi\) | |||||||
\(68\) | −0.738192 | − | 1.27859i | −0.0895189 | − | 0.155051i | ||||
\(69\) | 12.6830 | − | 9.21471i | 1.52685 | − | 1.10932i | ||||
\(70\) | −0.310744 | + | 0.427702i | −0.0371410 | + | 0.0511202i | ||||
\(71\) | −3.19790 | − | 7.18259i | −0.379520 | − | 0.852417i | −0.997790 | − | 0.0664505i | \(-0.978833\pi\) |
0.618269 | − | 0.785966i | \(-0.287834\pi\) | |||||||
\(72\) | −1.01284 | + | 4.76505i | −0.119365 | + | 0.561567i | ||||
\(73\) | 0.342899 | − | 0.770164i | 0.0401333 | − | 0.0901409i | −0.892366 | − | 0.451312i | \(-0.850956\pi\) |
0.932500 | + | 0.361171i | \(0.117623\pi\) | |||||||
\(74\) | 3.66075 | + | 11.2666i | 0.425553 | + | 1.30972i | ||||
\(75\) | 4.63885 | − | 14.2769i | 0.535648 | − | 1.64856i | ||||
\(76\) | −0.481835 | − | 0.0506429i | −0.0552702 | − | 0.00580913i | ||||
\(77\) | 0.0814636 | − | 0.250719i | 0.00928363 | − | 0.0285721i | ||||
\(78\) | −7.77730 | + | 2.49483i | −0.880606 | + | 0.282484i | ||||
\(79\) | −2.17556 | + | 0.968623i | −0.244770 | + | 0.108979i | −0.525455 | − | 0.850821i | \(-0.676105\pi\) |
0.280685 | + | 0.959800i | \(0.409438\pi\) | |||||||
\(80\) | 4.77651 | + | 1.55198i | 0.534030 | + | 0.173517i | ||||
\(81\) | −7.52116 | + | 8.35310i | −0.835685 | + | 0.928122i | ||||
\(82\) | −0.138895 | − | 1.32150i | −0.0153384 | − | 0.145935i | ||||
\(83\) | 7.22534 | + | 6.50573i | 0.793084 | + | 0.714096i | 0.962451 | − | 0.271457i | \(-0.0875054\pi\) |
−0.169366 | + | 0.985553i | \(0.554172\pi\) | |||||||
\(84\) | −0.111427 | − | 0.250269i | −0.0121577 | − | 0.0273066i | ||||
\(85\) | 5.75251 | + | 0.604613i | 0.623947 | + | 0.0655795i | ||||
\(86\) | 5.88659 | − | 0.618705i | 0.634767 | − | 0.0667167i | ||||
\(87\) | 8.81000 | 0.944531 | ||||||||
\(88\) | −5.55906 | −0.592597 | ||||||||
\(89\) | 12.3150 | − | 1.29436i | 1.30539 | − | 0.137202i | 0.573829 | − | 0.818975i | \(-0.305458\pi\) |
0.731564 | + | 0.681773i | \(0.238791\pi\) | |||||||
\(90\) | −3.91508 | − | 4.34813i | −0.412685 | − | 0.458334i | ||||
\(91\) | 0.307765 | − | 0.420283i | 0.0322625 | − | 0.0440576i | ||||
\(92\) | 6.46366 | 0.673883 | ||||||||
\(93\) | 6.03370 | − | 10.3035i | 0.625666 | − | 1.06843i | ||||
\(94\) | 2.98473 | − | 5.16970i | 0.307851 | − | 0.533214i | ||||
\(95\) | 1.27010 | − | 1.41059i | 0.130310 | − | 0.144724i | ||||
\(96\) | −7.27007 | + | 6.54600i | −0.741998 | + | 0.668098i | ||||
\(97\) | 0.417981 | − | 0.938800i | 0.0424395 | − | 0.0953207i | −0.891082 | − | 0.453843i | \(-0.850053\pi\) |
0.933521 | + | 0.358522i | \(0.116719\pi\) | |||||||
\(98\) | 6.38449 | + | 3.68609i | 0.644931 | + | 0.372351i | ||||
\(99\) | 2.52672 | + | 1.45880i | 0.253945 | + | 0.146615i | ||||
\(100\) | 5.00727 | − | 3.63800i | 0.500727 | − | 0.363800i | ||||
\(101\) | 2.04642 | − | 0.911127i | 0.203627 | − | 0.0906605i | −0.302389 | − | 0.953185i | \(-0.597784\pi\) |
0.506016 | + | 0.862524i | \(0.331118\pi\) | |||||||
\(102\) | 2.22330 | − | 3.06010i | 0.220139 | − | 0.302995i | ||||
\(103\) | −6.49690 | + | 7.21554i | −0.640159 | + | 0.710969i | −0.972686 | − | 0.232125i | \(-0.925432\pi\) |
0.332527 | + | 0.943094i | \(0.392099\pi\) | |||||||
\(104\) | −10.4343 | − | 3.43358i | −1.02317 | − | 0.336690i | ||||
\(105\) | 1.04984 | + | 0.223151i | 0.102454 | + | 0.0217773i | ||||
\(106\) | −13.1262 | − | 4.26496i | −1.27493 | − | 0.414249i | ||||
\(107\) | 0.903496 | − | 8.59619i | 0.0873442 | − | 0.831025i | −0.859889 | − | 0.510481i | \(-0.829468\pi\) |
0.947234 | − | 0.320544i | \(-0.103866\pi\) | |||||||
\(108\) | −2.59851 | + | 0.552331i | −0.250042 | + | 0.0531480i | ||||
\(109\) | 16.5629 | + | 5.38160i | 1.58643 | + | 0.515464i | 0.963704 | − | 0.266973i | \(-0.0860235\pi\) |
0.622730 | + | 0.782437i | \(0.286024\pi\) | |||||||
\(110\) | 3.92452 | − | 5.40163i | 0.374188 | − | 0.515025i | ||||
\(111\) | 17.8730 | − | 16.0929i | 1.69643 | − | 1.52747i | ||||
\(112\) | −0.0435504 | + | 0.204889i | −0.00411513 | + | 0.0193601i | ||||
\(113\) | −0.692488 | − | 6.58859i | −0.0651438 | − | 0.619802i | −0.977577 | − | 0.210577i | \(-0.932466\pi\) |
0.912433 | − | 0.409225i | \(-0.134201\pi\) | |||||||
\(114\) | −0.383571 | − | 1.18051i | −0.0359247 | − | 0.110565i | ||||
\(115\) | −14.8847 | + | 20.4871i | −1.38801 | + | 1.91043i | ||||
\(116\) | 2.93866 | + | 2.13506i | 0.272848 | + | 0.198235i | ||||
\(117\) | 3.84161 | + | 4.29881i | 0.355157 | + | 0.397426i | ||||
\(118\) | 5.01387 | − | 8.68427i | 0.461564 | − | 0.799452i | ||||
\(119\) | 0.241241i | 0.0221145i | ||||||||
\(120\) | −2.36578 | − | 22.5089i | −0.215965 | − | 2.05477i | ||||
\(121\) | 2.37035 | − | 7.29519i | 0.215486 | − | 0.663199i | ||||
\(122\) | −2.88767 | + | 0.938261i | −0.261437 | + | 0.0849461i | ||||
\(123\) | −2.33624 | + | 1.34883i | −0.210652 | + | 0.121620i | ||||
\(124\) | 4.50961 | − | 1.97460i | 0.404975 | − | 0.177325i | ||||
\(125\) | 6.92814i | 0.619671i | ||||||||
\(126\) | 0.163286 | − | 0.181347i | 0.0145467 | − | 0.0161557i | ||||
\(127\) | 7.24409 | − | 1.53978i | 0.642809 | − | 0.136633i | 0.125037 | − | 0.992152i | \(-0.460095\pi\) |
0.517772 | + | 0.855519i | \(0.326762\pi\) | |||||||
\(128\) | −0.965224 | + | 0.101449i | −0.0853145 | + | 0.00896692i | ||||
\(129\) | −6.00835 | − | 10.4068i | −0.529006 | − | 0.916265i | ||||
\(130\) | 10.7027 | − | 7.71486i | 0.938685 | − | 0.676638i | ||||
\(131\) | −0.570099 | − | 5.42413i | −0.0498098 | − | 0.473909i | −0.990786 | − | 0.135436i | \(-0.956756\pi\) |
0.940976 | − | 0.338473i | \(-0.109910\pi\) | |||||||
\(132\) | 1.40726 | + | 3.16075i | 0.122486 | + | 0.275108i | ||||
\(133\) | 0.0640462 | + | 0.0465323i | 0.00555351 | + | 0.00403486i | ||||
\(134\) | 0.769036 | + | 0.163464i | 0.0664346 | + | 0.0141211i | ||||
\(135\) | 4.23328 | − | 9.50811i | 0.364343 | − | 0.818328i | ||||
\(136\) | 4.83813 | − | 1.57201i | 0.414867 | − | 0.134798i | ||||
\(137\) | 3.92213 | − | 3.53150i | 0.335090 | − | 0.301717i | −0.484358 | − | 0.874870i | \(-0.660947\pi\) |
0.819448 | + | 0.573153i | \(0.194280\pi\) | |||||||
\(138\) | 6.73552 | + | 15.1282i | 0.573365 | + | 1.28780i | ||||
\(139\) | −19.1831 | + | 4.07748i | −1.62709 | + | 0.345848i | −0.928975 | − | 0.370143i | \(-0.879309\pi\) |
−0.698110 | + | 0.715990i | \(0.745975\pi\) | |||||||
\(140\) | 0.296106 | + | 0.328858i | 0.0250255 | + | 0.0277936i | ||||
\(141\) | −12.0527 | − | 1.26679i | −1.01502 | − | 0.106683i | ||||
\(142\) | 8.12363 | − | 1.72673i | 0.681720 | − | 0.144904i | ||||
\(143\) | −3.88689 | + | 5.30793i | −0.325038 | + | 0.443871i | ||||
\(144\) | −2.11782 | − | 0.942914i | −0.176485 | − | 0.0785762i | ||||
\(145\) | −13.5345 | + | 4.39762i | −1.12398 | + | 0.365202i | ||||
\(146\) | 0.720453 | + | 0.523440i | 0.0596251 | + | 0.0433202i | ||||
\(147\) | 1.56447 | − | 14.8849i | 0.129035 | − | 1.22769i | ||||
\(148\) | 9.86174 | − | 1.03651i | 0.810630 | − | 0.0852007i | ||||
\(149\) | 7.60897i | 0.623351i | 0.950189 | + | 0.311676i | \(0.100890\pi\) | ||||
−0.950189 | + | 0.311676i | \(0.899110\pi\) | |||||||
\(150\) | 13.7326 | + | 7.92853i | 1.12126 | + | 0.647362i | ||||
\(151\) | −4.56532 | − | 6.28363i | −0.371521 | − | 0.511355i | 0.581793 | − | 0.813337i | \(-0.302352\pi\) |
−0.953313 | + | 0.301983i | \(0.902352\pi\) | |||||||
\(152\) | 0.515868 | − | 1.58768i | 0.0418424 | − | 0.128778i | ||||
\(153\) | −2.61157 | − | 0.555106i | −0.211133 | − | 0.0448777i | ||||
\(154\) | 0.241161 | + | 0.139234i | 0.0194333 | + | 0.0112198i | ||||
\(155\) | −4.12622 | + | 18.8407i | −0.331426 | + | 1.51333i | ||||
\(156\) | 0.689164 | + | 6.80192i | 0.0551773 | + | 0.544589i | ||||
\(157\) | 4.44851 | + | 13.6911i | 0.355030 | + | 1.09267i | 0.955992 | + | 0.293392i | \(0.0947841\pi\) |
−0.600962 | + | 0.799277i | \(0.705216\pi\) | |||||||
\(158\) | −0.523016 | − | 2.46060i | −0.0416089 | − | 0.195755i | ||||
\(159\) | 2.92889 | + | 27.8665i | 0.232276 | + | 2.20996i | ||||
\(160\) | 7.90122 | − | 13.6853i | 0.624646 | − | 1.08192i | ||||
\(161\) | −0.914663 | − | 0.528081i | −0.0720856 | − | 0.0416186i | ||||
\(162\) | −6.97891 | − | 9.60564i | −0.548315 | − | 0.754691i | ||||
\(163\) | −0.844047 | − | 0.0887130i | −0.0661109 | − | 0.00694853i | 0.0714153 | − | 0.997447i | \(-0.477248\pi\) |
−0.137526 | + | 0.990498i | \(0.543915\pi\) | |||||||
\(164\) | −1.10616 | − | 0.116262i | −0.0863765 | − | 0.00907854i | ||||
\(165\) | −13.2589 | − | 2.81827i | −1.03221 | − | 0.219402i | ||||
\(166\) | −8.30878 | + | 6.03668i | −0.644887 | + | 0.468538i | ||||
\(167\) | 4.38505 | + | 3.94832i | 0.339326 | + | 0.305530i | 0.821122 | − | 0.570753i | \(-0.193349\pi\) |
−0.481796 | + | 0.876283i | \(0.660015\pi\) | |||||||
\(168\) | 0.923322 | − | 0.196258i | 0.0712358 | − | 0.0151416i | ||||
\(169\) | −10.5742 | + | 7.56221i | −0.813397 | + | 0.581709i | ||||
\(170\) | −1.88808 | + | 5.81091i | −0.144809 | + | 0.445676i | ||||
\(171\) | −0.651111 | + | 0.586263i | −0.0497917 | + | 0.0448327i | ||||
\(172\) | 0.517888 | − | 4.92737i | 0.0394886 | − | 0.375708i | ||||
\(173\) | 9.45214 | + | 10.4977i | 0.718633 | + | 0.798123i | 0.986225 | − | 0.165409i | \(-0.0528946\pi\) |
−0.267592 | + | 0.963532i | \(0.586228\pi\) | |||||||
\(174\) | −1.93486 | + | 9.10280i | −0.146681 | + | 0.690082i | ||||
\(175\) | −1.00580 | + | 0.105713i | −0.0760311 | + | 0.00799119i | ||||
\(176\) | 0.550016 | − | 2.58762i | 0.0414590 | − | 0.195049i | ||||
\(177\) | −20.2467 | − | 2.12801i | −1.52183 | − | 0.159951i | ||||
\(178\) | −1.36726 | + | 13.0086i | −0.102480 | + | 0.975036i | ||||
\(179\) | −22.0169 | − | 9.80256i | −1.64562 | − | 0.732678i | −0.646089 | − | 0.763262i | \(-0.723597\pi\) |
−0.999532 | + | 0.0305839i | \(0.990263\pi\) | |||||||
\(180\) | −4.24143 | + | 2.44879i | −0.316137 | + | 0.182522i | ||||
\(181\) | −4.48679 | − | 7.77135i | −0.333501 | − | 0.577640i | 0.649695 | − | 0.760195i | \(-0.274897\pi\) |
−0.983196 | + | 0.182555i | \(0.941563\pi\) | |||||||
\(182\) | 0.366659 | + | 0.410296i | 0.0271786 | + | 0.0304132i | ||||
\(183\) | 4.12466 | + | 4.58090i | 0.304904 | + | 0.338630i | ||||
\(184\) | −4.63052 | + | 21.7849i | −0.341366 | + | 1.60600i | ||||
\(185\) | −19.4246 | + | 33.6445i | −1.42813 | + | 2.47359i | ||||
\(186\) | 9.32085 | + | 8.49711i | 0.683438 | + | 0.623038i | ||||
\(187\) | − | 3.04674i | − | 0.222799i | ||||||
\(188\) | −3.71330 | − | 3.34347i | −0.270820 | − | 0.243848i | ||||
\(189\) | 0.412837 | + | 0.134139i | 0.0300295 | + | 0.00975717i | ||||
\(190\) | 1.17853 | + | 1.62211i | 0.0854996 | + | 0.117680i | ||||
\(191\) | 5.99373 | − | 10.3815i | 0.433691 | − | 0.751175i | −0.563497 | − | 0.826118i | \(-0.690544\pi\) |
0.997188 | + | 0.0749431i | \(0.0238775\pi\) | |||||||
\(192\) | −8.27607 | − | 14.3346i | −0.597274 | − | 1.03451i | ||||
\(193\) | −3.72271 | + | 8.36134i | −0.267966 | + | 0.601862i | −0.996541 | − | 0.0831044i | \(-0.973517\pi\) |
0.728575 | + | 0.684967i | \(0.240183\pi\) | |||||||
\(194\) | 0.878204 | + | 0.638053i | 0.0630514 | + | 0.0458095i | ||||
\(195\) | −23.1462 | − | 13.4793i | −1.65754 | − | 0.965275i | ||||
\(196\) | 4.12913 | − | 4.58586i | 0.294938 | − | 0.327562i | ||||
\(197\) | −12.8128 | − | 17.6353i | −0.912872 | − | 1.25646i | −0.966176 | − | 0.257882i | \(-0.916975\pi\) |
0.0533041 | − | 0.998578i | \(-0.483025\pi\) | |||||||
\(198\) | −2.06221 | + | 2.29031i | −0.146555 | + | 0.162765i | ||||
\(199\) | 13.2117 | + | 14.6731i | 0.936552 | + | 1.04015i | 0.999113 | + | 0.0421051i | \(0.0134064\pi\) |
−0.0625613 | + | 0.998041i | \(0.519927\pi\) | |||||||
\(200\) | 8.67419 | + | 19.4826i | 0.613358 | + | 1.37763i | ||||
\(201\) | −0.331862 | − | 1.56129i | −0.0234077 | − | 0.110125i | ||||
\(202\) | 0.491971 | + | 2.31454i | 0.0346149 | + | 0.162850i | ||||
\(203\) | −0.241411 | − | 0.542218i | −0.0169437 | − | 0.0380562i | ||||
\(204\) | −2.11856 | − | 2.35290i | −0.148329 | − | 0.164736i | ||||
\(205\) | 2.91580 | − | 3.23833i | 0.203648 | − | 0.226174i | ||||
\(206\) | −6.02850 | − | 8.29751i | −0.420025 | − | 0.578115i | ||||
\(207\) | 7.82145 | − | 8.68660i | 0.543628 | − | 0.603760i | ||||
\(208\) | 2.63064 | − | 4.51724i | 0.182402 | − | 0.313215i | ||||
\(209\) | −0.808867 | − | 0.587676i | −0.0559505 | − | 0.0406504i | ||||
\(210\) | −0.461135 | + | 1.03573i | −0.0318213 | + | 0.0714719i | ||||
\(211\) | 9.23150 | + | 15.9894i | 0.635523 | + | 1.10076i | 0.986404 | + | 0.164338i | \(0.0525487\pi\) |
−0.350881 | + | 0.936420i | \(0.614118\pi\) | |||||||
\(212\) | −5.77636 | + | 10.0049i | −0.396722 | + | 0.687143i | ||||
\(213\) | −9.91062 | − | 13.6408i | −0.679064 | − | 0.934652i | ||||
\(214\) | 8.68346 | + | 2.82143i | 0.593589 | + | 0.192869i | ||||
\(215\) | 14.4251 | + | 12.9884i | 0.983782 | + | 0.885801i | ||||
\(216\) | − | 9.15361i | − | 0.622825i | ||||||
\(217\) | −0.799474 | − | 0.0890118i | −0.0542718 | − | 0.00604251i | ||||
\(218\) | −9.19801 | + | 15.9314i | −0.622968 | + | 1.07901i | ||||
\(219\) | 0.375892 | − | 1.76843i | 0.0254004 | − | 0.119500i | ||||
\(220\) | −3.73964 | − | 4.15329i | −0.252127 | − | 0.280015i | ||||
\(221\) | 1.88183 | − | 5.71872i | 0.126586 | − | 0.384683i | ||||
\(222\) | 12.7025 | + | 22.0013i | 0.852535 | + | 1.47663i | ||||
\(223\) | −13.9898 | + | 8.07701i | −0.936826 | + | 0.540876i | −0.888964 | − | 0.457977i | \(-0.848574\pi\) |
−0.0478618 | + | 0.998854i | \(0.515241\pi\) | |||||||
\(224\) | 0.602092 | + | 0.268069i | 0.0402290 | + | 0.0179111i | ||||
\(225\) | 1.16997 | − | 11.1316i | 0.0779982 | − | 0.742104i | ||||
\(226\) | 6.95965 | + | 0.731488i | 0.462949 | + | 0.0486579i | ||||
\(227\) | 3.51363 | − | 16.5303i | 0.233208 | − | 1.09716i | −0.693233 | − | 0.720714i | \(-0.743814\pi\) |
0.926440 | − | 0.376441i | \(-0.122852\pi\) | |||||||
\(228\) | −1.03331 | + | 0.108605i | −0.0684324 | + | 0.00719253i | ||||
\(229\) | −2.68757 | + | 12.6440i | −0.177600 | + | 0.835542i | 0.795644 | + | 0.605765i | \(0.207133\pi\) |
−0.973243 | + | 0.229776i | \(0.926200\pi\) | |||||||
\(230\) | −17.8990 | − | 19.8788i | −1.18022 | − | 1.31077i | ||||
\(231\) | 0.0590944 | − | 0.562246i | 0.00388813 | − | 0.0369931i | ||||
\(232\) | −9.30116 | + | 8.37481i | −0.610651 | + | 0.549833i | ||||
\(233\) | −3.49808 | + | 10.7660i | −0.229167 | + | 0.705303i | 0.768675 | + | 0.639640i | \(0.220916\pi\) |
−0.997842 | + | 0.0656635i | \(0.979084\pi\) | |||||||
\(234\) | −5.28538 | + | 3.02518i | −0.345516 | + | 0.197762i | ||||
\(235\) | 19.1485 | − | 4.07014i | 1.24911 | − | 0.265507i | ||||
\(236\) | −6.23775 | − | 5.61649i | −0.406043 | − | 0.365603i | ||||
\(237\) | −4.13171 | + | 3.00187i | −0.268384 | + | 0.194992i | ||||
\(238\) | −0.249259 | − | 0.0529816i | −0.0161571 | − | 0.00343429i | ||||
\(239\) | 16.4981 | + | 1.73402i | 1.06717 | + | 0.112164i | 0.621796 | − | 0.783179i | \(-0.286403\pi\) |
0.445376 | + | 0.895343i | \(0.353070\pi\) | |||||||
\(240\) | 10.7115 | + | 1.12582i | 0.691424 | + | 0.0726716i | ||||
\(241\) | −10.3502 | − | 14.2458i | −0.666716 | − | 0.917655i | 0.332965 | − | 0.942939i | \(-0.391951\pi\) |
−0.999680 | + | 0.0252839i | \(0.991951\pi\) | |||||||
\(242\) | 7.01706 | + | 4.05130i | 0.451074 | + | 0.260428i | ||||
\(243\) | −7.54568 | + | 13.0695i | −0.484056 | + | 0.838409i | ||||
\(244\) | 0.265661 | + | 2.52759i | 0.0170072 | + | 0.161813i | ||||
\(245\) | 5.02655 | + | 23.6481i | 0.321135 | + | 1.51082i | ||||
\(246\) | −0.880572 | − | 2.71012i | −0.0561432 | − | 0.172791i | ||||
\(247\) | −1.15526 | − | 1.60267i | −0.0735075 | − | 0.101975i | ||||
\(248\) | 3.42448 | + | 16.6136i | 0.217455 | + | 1.05497i | ||||
\(249\) | 18.0570 | + | 10.4252i | 1.14432 | + | 0.660673i | ||||
\(250\) | −7.15839 | − | 1.52156i | −0.452737 | − | 0.0962321i | ||||
\(251\) | 3.91676 | − | 12.0545i | 0.247224 | − | 0.760876i | −0.748039 | − | 0.663655i | \(-0.769004\pi\) |
0.995263 | − | 0.0972215i | \(-0.0309955\pi\) | |||||||
\(252\) | −0.120063 | − | 0.165252i | −0.00756325 | − | 0.0104099i | ||||
\(253\) | 11.5517 | + | 6.66936i | 0.726247 | + | 0.419299i | ||||
\(254\) | 7.82301i | 0.490859i | ||||||||
\(255\) | 12.3364 | − | 1.29661i | 0.772535 | − | 0.0811967i | ||||
\(256\) | 1.72073 | − | 16.3717i | 0.107546 | − | 1.02323i | ||||
\(257\) | −18.6253 | − | 13.5321i | −1.16181 | − | 0.844107i | −0.171807 | − | 0.985131i | \(-0.554961\pi\) |
−0.990006 | + | 0.141024i | \(0.954961\pi\) | |||||||
\(258\) | 12.0722 | − | 3.92250i | 0.751582 | − | 0.244204i | ||||
\(259\) | −1.48020 | − | 0.659030i | −0.0919754 | − | 0.0409501i | ||||
\(260\) | −4.45400 | − | 10.1055i | −0.276225 | − | 0.626719i | ||||
\(261\) | 6.42531 | − | 1.36574i | 0.397716 | − | 0.0845372i | ||||
\(262\) | 5.72961 | + | 0.602206i | 0.353976 | + | 0.0372044i | ||||
\(263\) | 3.19522 | + | 3.54866i | 0.197026 | + | 0.218820i | 0.833560 | − | 0.552429i | \(-0.186299\pi\) |
−0.636534 | + | 0.771249i | \(0.719632\pi\) | |||||||
\(264\) | −11.6610 | + | 2.47863i | −0.717686 | + | 0.152549i | ||||
\(265\) | −18.4095 | − | 41.3483i | −1.13088 | − | 2.54001i | ||||
\(266\) | −0.0621447 | + | 0.0559554i | −0.00381034 | + | 0.00343084i | ||||
\(267\) | 25.2557 | − | 8.20607i | 1.54562 | − | 0.502203i | ||||
\(268\) | 0.267675 | − | 0.601207i | 0.0163508 | − | 0.0367246i | ||||
\(269\) | 17.7047 | + | 3.76326i | 1.07948 | + | 0.229450i | 0.713132 | − | 0.701030i | \(-0.247276\pi\) |
0.366344 | + | 0.930479i | \(0.380609\pi\) | |||||||
\(270\) | 8.89439 | + | 6.46216i | 0.541296 | + | 0.393274i | ||||
\(271\) | −6.00251 | − | 13.4818i | −0.364626 | − | 0.818964i | −0.998946 | − | 0.0458934i | \(-0.985387\pi\) |
0.634320 | − | 0.773070i | \(-0.281280\pi\) | |||||||
\(272\) | 0.253047 | + | 2.40758i | 0.0153432 | + | 0.145981i | ||||
\(273\) | 0.458194 | − | 1.01883i | 0.0277312 | − | 0.0616627i | ||||
\(274\) | 2.78749 | + | 4.82807i | 0.168398 | + | 0.291675i | ||||
\(275\) | 12.7026 | − | 1.33510i | 0.765997 | − | 0.0805096i | ||||
\(276\) | 13.5586 | − | 2.88196i | 0.816130 | − | 0.173474i | ||||
\(277\) | −15.2597 | + | 16.9476i | −0.916868 | + | 1.01829i | 0.0828955 | + | 0.996558i | \(0.473583\pi\) |
−0.999764 | + | 0.0217273i | \(0.993083\pi\) | |||||||
\(278\) | − | 20.7161i | − | 1.24247i | ||||||
\(279\) | 2.80323 | − | 8.44993i | 0.167825 | − | 0.505884i | ||||
\(280\) | −1.32050 | + | 0.762391i | −0.0789150 | + | 0.0455616i | ||||
\(281\) | −25.7485 | + | 8.36618i | −1.53602 | + | 0.499085i | −0.950276 | − | 0.311408i | \(-0.899199\pi\) |
−0.585748 | + | 0.810493i | \(0.699199\pi\) | |||||||
\(282\) | 3.95593 | − | 12.1751i | 0.235572 | − | 0.725016i | ||||
\(283\) | −0.0591920 | − | 0.563174i | −0.00351860 | − | 0.0334772i | 0.992622 | − | 0.121252i | \(-0.0386910\pi\) |
−0.996140 | + | 0.0877751i | \(0.972024\pi\) | |||||||
\(284\) | − | 6.95180i | − | 0.412514i | ||||||
\(285\) | 2.03530 | − | 3.52524i | 0.120561 | − | 0.208817i | ||||
\(286\) | −4.63070 | − | 5.18181i | −0.273819 | − | 0.306407i | ||||
\(287\) | 0.147032 | + | 0.106825i | 0.00867905 | + | 0.00630570i | ||||
\(288\) | −4.28743 | + | 5.90114i | −0.252639 | + | 0.347728i | ||||
\(289\) | −4.39172 | − | 13.5163i | −0.258337 | − | 0.795079i | ||||
\(290\) | −1.57132 | − | 14.9501i | −0.0922711 | − | 0.877901i | ||||
\(291\) | 0.458198 | − | 2.15565i | 0.0268600 | − | 0.126366i | ||||
\(292\) | 0.553953 | − | 0.498782i | 0.0324177 | − | 0.0291890i | ||||
\(293\) | −8.23062 | + | 11.3285i | −0.480838 | + | 0.661816i | −0.978666 | − | 0.205460i | \(-0.934131\pi\) |
0.497828 | + | 0.867276i | \(0.334131\pi\) | |||||||
\(294\) | 15.0360 | + | 4.88550i | 0.876919 | + | 0.284928i | ||||
\(295\) | 32.1664 | − | 6.83718i | 1.87280 | − | 0.398076i | ||||
\(296\) | −3.57146 | + | 33.9802i | −0.207587 | + | 1.97506i | ||||
\(297\) | −5.21389 | − | 1.69410i | −0.302541 | − | 0.0983015i | ||||
\(298\) | −7.86186 | − | 1.67109i | −0.455425 | − | 0.0968036i | ||||
\(299\) | 17.5631 | + | 19.6533i | 1.01570 | + | 1.13658i | ||||
\(300\) | 8.88148 | − | 9.86388i | 0.512773 | − | 0.569492i | ||||
\(301\) | −0.475852 | + | 0.654954i | −0.0274277 | + | 0.0377509i | ||||
\(302\) | 7.49511 | − | 3.33704i | 0.431295 | − | 0.192025i | ||||
\(303\) | 3.88646 | − | 2.82368i | 0.223271 | − | 0.162216i | ||||
\(304\) | 0.687990 | + | 0.397211i | 0.0394589 | + | 0.0227816i | ||||
\(305\) | −8.62318 | − | 4.97859i | −0.493762 | − | 0.285073i | ||||
\(306\) | 1.14711 | − | 2.57645i | 0.0655759 | − | 0.147286i | ||||
\(307\) | −16.5026 | + | 14.8590i | −0.941851 | + | 0.848046i | −0.988555 | − | 0.150863i | \(-0.951795\pi\) |
0.0467042 | + | 0.998909i | \(0.485128\pi\) | |||||||
\(308\) | 0.155969 | − | 0.173221i | 0.00888716 | − | 0.00987019i | ||||
\(309\) | −10.4111 | + | 18.0326i | −0.592267 | + | 1.02584i | ||||
\(310\) | −18.5607 | − | 8.40118i | −1.05418 | − | 0.477155i | ||||
\(311\) | 3.36010 | 0.190534 | 0.0952669 | − | 0.995452i | \(-0.469630\pi\) | ||||
0.0952669 | + | 0.995452i | \(0.469630\pi\) | |||||||
\(312\) | −23.4187 | − | 2.55011i | −1.32582 | − | 0.144372i | ||||
\(313\) | 6.48923 | + | 7.20702i | 0.366793 | + | 0.407365i | 0.898084 | − | 0.439825i | \(-0.144959\pi\) |
−0.531291 | + | 0.847190i | \(0.678293\pi\) | |||||||
\(314\) | −15.1231 | + | 1.58950i | −0.853447 | + | 0.0897009i | ||||
\(315\) | 0.800265 | 0.0450898 | ||||||||
\(316\) | −2.10566 | −0.118453 | ||||||||
\(317\) | −14.4921 | + | 1.52319i | −0.813960 | + | 0.0855506i | −0.502355 | − | 0.864661i | \(-0.667533\pi\) |
−0.311604 | + | 0.950212i | \(0.600866\pi\) | |||||||
\(318\) | −29.4359 | − | 3.09384i | −1.65068 | − | 0.173494i | ||||
\(319\) | 3.04888 | + | 6.84790i | 0.170705 | + | 0.383409i | ||||
\(320\) | 19.8695 | + | 17.8906i | 1.11074 | + | 1.00011i | ||||
\(321\) | −1.93757 | − | 18.4347i | −0.108145 | − | 1.02893i | ||||
\(322\) | 0.746511 | − | 0.829085i | 0.0416014 | − | 0.0462031i | ||||
\(323\) | 0.870154 | + | 0.282730i | 0.0484167 | + | 0.0157315i | ||||
\(324\) | −9.07927 | + | 4.04235i | −0.504404 | + | 0.224575i | ||||
\(325\) | 24.6674 | + | 5.33986i | 1.36830 | + | 0.296202i | ||||
\(326\) | 0.277032 | − | 0.852616i | 0.0153434 | − | 0.0472220i | ||||
\(327\) | 37.1428 | + | 3.90386i | 2.05400 | + | 0.215884i | ||||
\(328\) | 1.18429 | − | 3.64487i | 0.0653915 | − | 0.201254i | ||||
\(329\) | 0.252302 | + | 0.776507i | 0.0139099 | + | 0.0428102i | ||||
\(330\) | 5.82387 | − | 13.0806i | 0.320593 | − | 0.720065i | ||||
\(331\) | 2.65508 | − | 12.4912i | 0.145936 | − | 0.686577i | −0.842961 | − | 0.537975i | \(-0.819189\pi\) |
0.988897 | − | 0.148602i | \(-0.0474773\pi\) | |||||||
\(332\) | 3.49659 | + | 7.85347i | 0.191900 | + | 0.431015i | ||||
\(333\) | 10.5404 | − | 14.5076i | 0.577609 | − | 0.795010i | ||||
\(334\) | −5.04259 | + | 3.66366i | −0.275918 | + | 0.200466i | ||||
\(335\) | 1.28916 | + | 2.23290i | 0.0704345 | + | 0.121996i | ||||
\(336\) | 0.449205i | 0.0245061i | ||||||||
\(337\) | −0.353825 | + | 0.257069i | −0.0192741 | + | 0.0140034i | −0.597381 | − | 0.801958i | \(-0.703792\pi\) |
0.578107 | + | 0.815961i | \(0.303792\pi\) | |||||||
\(338\) | −5.49124 | − | 12.5864i | −0.298684 | − | 0.684611i | ||||
\(339\) | −4.39027 | − | 13.5119i | −0.238447 | − | 0.733864i | ||||
\(340\) | 4.42915 | + | 2.55717i | 0.240204 | + | 0.138682i | ||||
\(341\) | 10.0969 | + | 1.12417i | 0.546778 | + | 0.0608771i | ||||
\(342\) | −0.462750 | − | 0.801507i | −0.0250227 | − | 0.0433405i | ||||
\(343\) | −1.92081 | + | 0.624110i | −0.103714 | + | 0.0336988i | ||||
\(344\) | 16.2360 | + | 5.27540i | 0.875388 | + | 0.284431i | ||||
\(345\) | −22.0885 | + | 49.6116i | −1.18921 | + | 2.67100i | ||||
\(346\) | −12.9224 | + | 7.46078i | −0.694715 | + | 0.401094i | ||||
\(347\) | 31.6938 | 1.70141 | 0.850705 | − | 0.525643i | \(-0.176175\pi\) | ||||
0.850705 | + | 0.525643i | \(0.176175\pi\) | |||||||
\(348\) | 7.11627 | + | 3.16837i | 0.381472 | + | 0.169842i | ||||
\(349\) | −7.88468 | − | 17.7093i | −0.422057 | − | 0.947956i | −0.991996 | − | 0.126269i | \(-0.959700\pi\) |
0.569939 | − | 0.821687i | \(-0.306967\pi\) | |||||||
\(350\) | 0.111667 | − | 1.06244i | 0.00596886 | − | 0.0567899i | ||||
\(351\) | −8.74010 | − | 6.40021i | −0.466512 | − | 0.341618i | ||||
\(352\) | −7.60407 | − | 3.38555i | −0.405299 | − | 0.180451i | ||||
\(353\) | 10.1670 | + | 9.15438i | 0.541133 | + | 0.487238i | 0.893772 | − | 0.448521i | \(-0.148049\pi\) |
−0.352639 | + | 0.935759i | \(0.614716\pi\) | |||||||
\(354\) | 6.64532 | − | 20.4522i | 0.353195 | − | 1.08702i | ||||
\(355\) | 22.0343 | + | 16.0088i | 1.16946 | + | 0.849661i | ||||
\(356\) | 10.4130 | + | 3.38338i | 0.551886 | + | 0.179319i | ||||
\(357\) | 0.107563 | + | 0.506042i | 0.00569282 | + | 0.0267826i | ||||
\(358\) | 14.9637 | − | 20.5958i | 0.790858 | − | 1.08852i | ||||
\(359\) | −5.90104 | − | 27.7622i | −0.311445 | − | 1.46523i | −0.803832 | − | 0.594857i | \(-0.797209\pi\) |
0.492387 | − | 0.870376i | \(-0.336125\pi\) | |||||||
\(360\) | −5.21478 | − | 16.0494i | −0.274843 | − | 0.845880i | ||||
\(361\) | −15.1284 | + | 10.9914i | −0.796233 | + | 0.578497i | ||||
\(362\) | 9.01503 | − | 2.92916i | 0.473819 | − | 0.153953i | ||||
\(363\) | 1.71947 | − | 16.3597i | 0.0902490 | − | 0.858662i | ||||
\(364\) | 0.399745 | − | 0.228801i | 0.0209523 | − | 0.0119924i | ||||
\(365\) | 0.305266 | + | 2.90441i | 0.0159783 | + | 0.152024i | ||||
\(366\) | −5.63901 | + | 3.25568i | −0.294756 | + | 0.170177i | ||||
\(367\) | −3.85153 | −0.201048 | −0.100524 | − | 0.994935i | \(-0.532052\pi\) | ||||
−0.100524 | + | 0.994935i | \(0.532052\pi\) | |||||||
\(368\) | −9.68225 | − | 4.31082i | −0.504722 | − | 0.224717i | ||||
\(369\) | −1.49477 | + | 1.34590i | −0.0778147 | + | 0.0700646i | ||||
\(370\) | −30.4966 | − | 27.4593i | −1.58544 | − | 1.42754i | ||||
\(371\) | 1.63481 | − | 0.943857i | 0.0848751 | − | 0.0490026i | ||||
\(372\) | 8.57922 | − | 6.15276i | 0.444812 | − | 0.319006i | ||||
\(373\) | 0.320164 | + | 0.554541i | 0.0165775 | + | 0.0287130i | 0.874195 | − | 0.485575i | \(-0.161390\pi\) |
−0.857618 | + | 0.514288i | \(0.828056\pi\) | |||||||
\(374\) | 3.14800 | + | 0.669127i | 0.162779 | + | 0.0345997i | ||||
\(375\) | 3.08906 | + | 14.5329i | 0.159518 | + | 0.750475i | ||||
\(376\) | 13.9289 | − | 10.1199i | 0.718328 | − | 0.521896i | ||||
\(377\) | 1.49310 | + | 14.7367i | 0.0768988 | + | 0.758976i | ||||
\(378\) | −0.229265 | + | 0.397098i | −0.0117921 | + | 0.0204245i | ||||
\(379\) | −4.92294 | + | 11.0571i | −0.252874 | + | 0.567965i | −0.994722 | − | 0.102603i | \(-0.967283\pi\) |
0.741848 | + | 0.670568i | \(0.233950\pi\) | |||||||
\(380\) | 1.53322 | − | 0.682633i | 0.0786525 | − | 0.0350183i | ||||
\(381\) | 14.5091 | − | 6.45987i | 0.743324 | − | 0.330949i | ||||
\(382\) | 9.41013 | + | 8.47292i | 0.481464 | + | 0.433512i | ||||
\(383\) | −13.0903 | + | 1.37584i | −0.668881 | + | 0.0703022i | −0.432881 | − | 0.901451i | \(-0.642503\pi\) |
−0.236000 | + | 0.971753i | \(0.575836\pi\) | |||||||
\(384\) | −1.97948 | + | 0.643172i | −0.101015 | + | 0.0328217i | ||||
\(385\) | 0.189867 | + | 0.893256i | 0.00967654 | + | 0.0455245i | ||||
\(386\) | −7.82164 | − | 5.68276i | −0.398111 | − | 0.289245i | ||||
\(387\) | −5.99528 | − | 6.65844i | −0.304757 | − | 0.338467i | ||||
\(388\) | 0.675247 | − | 0.607996i | 0.0342805 | − | 0.0308663i | ||||
\(389\) | 10.1324 | − | 4.51125i | 0.513735 | − | 0.228729i | −0.133460 | − | 0.991054i | \(-0.542609\pi\) |
0.647195 | + | 0.762325i | \(0.275942\pi\) | |||||||
\(390\) | 19.0107 | − | 20.9552i | 0.962645 | − | 1.06111i | ||||
\(391\) | −11.9396 | − | 2.53783i | −0.603810 | − | 0.128344i | ||||
\(392\) | 12.4979 | + | 17.2019i | 0.631242 | + | 0.868830i | ||||
\(393\) | −3.61434 | − | 11.1238i | −0.182319 | − | 0.561122i | ||||
\(394\) | 21.0353 | − | 9.36553i | 1.05974 | − | 0.471829i | ||||
\(395\) | 4.84898 | − | 6.67405i | 0.243979 | − | 0.335808i | ||||
\(396\) | 1.51632 | + | 2.08704i | 0.0761981 | + | 0.104878i | ||||
\(397\) | − | 9.86375i | − | 0.495048i | −0.968882 | − | 0.247524i | \(-0.920383\pi\) | ||
0.968882 | − | 0.247524i | \(-0.0796168\pi\) | |||||||
\(398\) | −18.0623 | + | 10.4283i | −0.905381 | + | 0.522722i | ||||
\(399\) | 0.155095 | + | 0.0690526i | 0.00776445 | + | 0.00345696i | ||||
\(400\) | −9.92695 | + | 2.11004i | −0.496347 | + | 0.105502i | ||||
\(401\) | −0.117067 | + | 0.550758i | −0.00584606 | + | 0.0275036i | −0.980974 | − | 0.194139i | \(-0.937809\pi\) |
0.975128 | + | 0.221643i | \(0.0711419\pi\) | |||||||
\(402\) | 1.68606 | 0.0840931 | ||||||||
\(403\) | 18.2575 | + | 8.34646i | 0.909471 | + | 0.415767i | ||||
\(404\) | 1.98067 | 0.0985420 | ||||||||
\(405\) | 8.09549 | − | 38.0863i | 0.402268 | − | 1.89252i | ||||
\(406\) | 0.613258 | − | 0.130352i | 0.0304355 | − | 0.00646926i | ||||
\(407\) | 18.6941 | + | 8.32316i | 0.926633 | + | 0.412564i | ||||
\(408\) | 9.44785 | − | 5.45472i | 0.467739 | − | 0.270049i | ||||
\(409\) | 35.2963i | 1.74529i | 0.488356 | + | 0.872644i | \(0.337597\pi\) | ||||
−0.488356 | + | 0.872644i | \(0.662403\pi\) | |||||||
\(410\) | 2.70558 | + | 3.72391i | 0.133619 | + | 0.183911i | ||||
\(411\) | 6.65270 | − | 9.15666i | 0.328154 | − | 0.451665i | ||||
\(412\) | −7.84282 | + | 3.49185i | −0.386388 | + | 0.172031i | ||||
\(413\) | 0.423827 | + | 1.30441i | 0.0208552 | + | 0.0641857i | ||||
\(414\) | 7.25754 | + | 9.98915i | 0.356689 | + | 0.490940i | ||||
\(415\) | −32.9443 | − | 7.00252i | −1.61717 | − | 0.343740i | ||||
\(416\) | −12.1817 | − | 11.0514i | −0.597259 | − | 0.541838i | ||||
\(417\) | −38.4215 | + | 17.1064i | −1.88151 | + | 0.837702i | ||||
\(418\) | 0.784852 | − | 0.706684i | 0.0383884 | − | 0.0345650i | ||||
\(419\) | −14.3566 | − | 15.9446i | −0.701364 | − | 0.778944i | 0.282229 | − | 0.959347i | \(-0.408926\pi\) |
−0.983593 | + | 0.180403i | \(0.942260\pi\) | |||||||
\(420\) | 0.767758 | + | 0.557809i | 0.0374627 | + | 0.0272183i | ||||
\(421\) | −7.28010 | − | 34.2502i | −0.354810 | − | 1.66925i | −0.687476 | − | 0.726207i | \(-0.741281\pi\) |
0.332665 | − | 0.943045i | \(-0.392052\pi\) | |||||||
\(422\) | −18.5483 | + | 6.02670i | −0.902916 | + | 0.293375i | ||||
\(423\) | −8.98667 | + | 0.944537i | −0.436947 | + | 0.0459250i | ||||
\(424\) | −29.5822 | − | 26.6359i | −1.43664 | − | 1.29355i | ||||
\(425\) | −10.6778 | + | 4.75404i | −0.517947 | + | 0.230605i | ||||
\(426\) | 16.2707 | − | 7.24420i | 0.788319 | − | 0.350982i | ||||
\(427\) | 0.168911 | − | 0.379381i | 0.00817419 | − | 0.0183595i | ||||
\(428\) | 3.82127 | − | 6.61864i | 0.184708 | − | 0.319924i | ||||
\(429\) | −5.78673 | + | 12.8673i | −0.279386 | + | 0.621239i | ||||
\(430\) | −16.5881 | + | 12.0520i | −0.799950 | + | 0.581198i | ||||
\(431\) | −5.34041 | − | 25.1246i | −0.257238 | − | 1.21021i | −0.897137 | − | 0.441752i | \(-0.854357\pi\) |
0.639899 | − | 0.768459i | \(-0.278976\pi\) | |||||||
\(432\) | 4.26081 | + | 0.905664i | 0.204998 | + | 0.0435738i | ||||
\(433\) | −12.3819 | − | 21.4461i | −0.595038 | − | 1.03064i | −0.993542 | − | 0.113469i | \(-0.963804\pi\) |
0.398504 | − | 0.917167i | \(-0.369530\pi\) | |||||||
\(434\) | 0.267551 | − | 0.806496i | 0.0128429 | − | 0.0387130i | ||||
\(435\) | −26.4300 | + | 15.2594i | −1.26722 | + | 0.731630i | ||||
\(436\) | 11.4432 | + | 10.3035i | 0.548032 | + | 0.493450i | ||||
\(437\) | −2.97675 | + | 2.68028i | −0.142397 | + | 0.128215i | ||||
\(438\) | 1.74465 | + | 0.776770i | 0.0833627 | + | 0.0371155i | ||||
\(439\) | −27.7277 | −1.32337 | −0.661686 | − | 0.749781i | \(-0.730159\pi\) | ||||
−0.661686 | + | 0.749781i | \(0.730159\pi\) | |||||||
\(440\) | 16.6772 | − | 9.62856i | 0.795052 | − | 0.459024i | ||||
\(441\) | −1.16649 | − | 11.0984i | −0.0555470 | − | 0.528495i | ||||
\(442\) | 5.49549 | + | 3.20033i | 0.261394 | + | 0.152224i | ||||
\(443\) | −3.35621 | + | 31.9322i | −0.159458 | + | 1.51715i | 0.563420 | + | 0.826171i | \(0.309485\pi\) |
−0.722878 | + | 0.690975i | \(0.757181\pi\) | |||||||
\(444\) | 20.2244 | − | 6.57132i | 0.959810 | − | 0.311861i | ||||
\(445\) | −34.7032 | + | 25.2134i | −1.64509 | + | 1.19523i | ||||
\(446\) | −5.27300 | − | 16.2286i | −0.249684 | − | 0.768447i | ||||
\(447\) | 3.39263 | + | 15.9610i | 0.160466 | + | 0.754932i | ||||
\(448\) | −0.655452 | + | 0.902152i | −0.0309672 | + | 0.0426227i | ||||
\(449\) | −7.16095 | − | 33.6896i | −0.337946 | − | 1.58991i | −0.738901 | − | 0.673814i | \(-0.764655\pi\) |
0.400955 | − | 0.916098i | \(-0.368678\pi\) | |||||||
\(450\) | 11.2446 | + | 3.65358i | 0.530074 | + | 0.172231i | ||||
\(451\) | −1.85693 | − | 1.34914i | −0.0874396 | − | 0.0635286i | ||||
\(452\) | 1.81012 | − | 5.57097i | 0.0851408 | − | 0.262036i | ||||
\(453\) | −12.3782 | − | 11.1454i | −0.581579 | − | 0.523656i | ||||
\(454\) | 16.3080 | + | 7.26080i | 0.765374 | + | 0.340766i | ||||
\(455\) | −0.195343 | + | 1.79391i | −0.00915784 | + | 0.0840999i | ||||
\(456\) | 0.374215 | − | 3.56042i | 0.0175242 | − | 0.166732i | ||||
\(457\) | 11.0116 | + | 24.7325i | 0.515103 | + | 1.15694i | 0.964614 | + | 0.263665i | \(0.0849314\pi\) |
−0.449512 | + | 0.893275i | \(0.648402\pi\) | |||||||
\(458\) | −12.4740 | − | 5.55379i | −0.582873 | − | 0.259512i | ||||
\(459\) | 5.01679 | 0.234164 | ||||||||
\(460\) | −19.3910 | + | 11.1954i | −0.904108 | + | 0.521987i | ||||
\(461\) | 1.79742 | − | 4.03708i | 0.0837143 | − | 0.188025i | −0.866838 | − | 0.498590i | \(-0.833851\pi\) |
0.950552 | + | 0.310564i | \(0.100518\pi\) | |||||||
\(462\) | 0.567954 | + | 0.184539i | 0.0264236 | + | 0.00858555i | ||||
\(463\) | 30.2425 | − | 9.82640i | 1.40549 | − | 0.456671i | 0.494528 | − | 0.869162i | \(-0.335341\pi\) |
0.910962 | + | 0.412490i | \(0.135341\pi\) | |||||||
\(464\) | −2.97803 | − | 5.15810i | −0.138252 | − | 0.239459i | ||||
\(465\) | −0.254851 | + | 41.3613i | −0.0118184 | + | 1.91808i | ||||
\(466\) | −10.3555 | − | 5.97877i | −0.479711 | − | 0.276961i | ||||
\(467\) | 4.21698 | + | 12.9785i | 0.195138 | + | 0.600574i | 0.999975 | + | 0.00707768i | \(0.00225291\pi\) |
−0.804837 | + | 0.593496i | \(0.797747\pi\) | |||||||
\(468\) | 1.55707 | + | 4.85394i | 0.0719754 | + | 0.224373i | ||||
\(469\) | −0.0869969 | + | 0.0632070i | −0.00401714 | + | 0.00291863i | ||||
\(470\) | 20.6788i | 0.953842i | ||||||||
\(471\) | 15.4359 | + | 26.7358i | 0.711251 | + | 1.23192i | ||||
\(472\) | 23.3983 | − | 16.9999i | 1.07699 | − | 0.782482i | ||||
\(473\) | 6.00973 | − | 8.27169i | 0.276328 | − | 0.380333i | ||||
\(474\) | −2.19422 | − | 4.92830i | −0.100784 | − | 0.226364i | ||||
\(475\) | −0.797468 | + | 3.75179i | −0.0365903 | + | 0.172144i | ||||
\(476\) | −0.0867583 | + | 0.194862i | −0.00397656 | + | 0.00893150i | ||||
\(477\) | 6.45601 | + | 19.8696i | 0.295601 | + | 0.909765i | ||||
\(478\) | −5.41497 | + | 16.6656i | −0.247675 | + | 0.762266i | ||||
\(479\) | 21.0953 | + | 2.21720i | 0.963867 | + | 0.101306i | 0.573369 | − | 0.819297i | \(-0.305636\pi\) |
0.390498 | + | 0.920604i | \(0.372303\pi\) | |||||||
\(480\) | 10.4722 | − | 32.2301i | 0.477988 | − | 1.47110i | ||||
\(481\) | 29.9480 | + | 27.1691i | 1.36551 | + | 1.23880i | ||||
\(482\) | 16.9924 | − | 7.56552i | 0.773984 | − | 0.344600i | ||||
\(483\) | −2.15411 | − | 0.699913i | −0.0980154 | − | 0.0318471i | ||||
\(484\) | 4.53824 | − | 5.04023i | 0.206284 | − | 0.229101i | ||||
\(485\) | 0.372107 | + | 3.54036i | 0.0168965 | + | 0.160760i | ||||
\(486\) | −11.8467 | − | 10.6668i | −0.537376 | − | 0.483856i | ||||
\(487\) | −0.491341 | − | 1.10357i | −0.0222648 | − | 0.0500076i | 0.902071 | − | 0.431588i | \(-0.142047\pi\) |
−0.924336 | + | 0.381580i | \(0.875380\pi\) | |||||||
\(488\) | −8.70923 | − | 0.915377i | −0.394248 | − | 0.0414372i | ||||
\(489\) | −1.81008 | + | 0.190247i | −0.0818547 | + | 0.00860327i | ||||
\(490\) | −25.5380 | −1.15369 | ||||||||
\(491\) | −18.5936 | −0.839117 | −0.419559 | − | 0.907728i | \(-0.637815\pi\) | ||||
−0.419559 | + | 0.907728i | \(0.637815\pi\) | |||||||
\(492\) | −2.37218 | + | 0.249327i | −0.106946 | + | 0.0112405i | ||||
\(493\) | −4.58996 | − | 5.09766i | −0.206721 | − | 0.229587i | ||||
\(494\) | 1.90965 | − | 0.841676i | 0.0859193 | − | 0.0378688i | ||||
\(495\) | −10.1069 | −0.454270 | ||||||||
\(496\) | −8.07211 | − | 0.0497370i | −0.362448 | − | 0.00223326i | ||||
\(497\) | −0.567963 | + | 0.983740i | −0.0254766 | + | 0.0441268i | ||||
\(498\) | −14.7374 | + | 16.3676i | −0.660400 | + | 0.733448i | ||||
\(499\) | 7.54833 | − | 6.79655i | 0.337910 | − | 0.304255i | −0.482653 | − | 0.875812i | \(-0.660327\pi\) |
0.820563 | + | 0.571556i | \(0.193660\pi\) | |||||||
\(500\) | −2.49159 | + | 5.59620i | −0.111427 | + | 0.250270i | ||||
\(501\) | 10.9588 | + | 6.32707i | 0.489603 | + | 0.282672i | ||||
\(502\) | 11.5950 | + | 6.69436i | 0.517509 | + | 0.298784i | ||||
\(503\) | −6.74929 | + | 4.90364i | −0.300936 | + | 0.218643i | −0.727997 | − | 0.685580i | \(-0.759549\pi\) |
0.427062 | + | 0.904223i | \(0.359549\pi\) | |||||||
\(504\) | 0.642972 | − | 0.286270i | 0.0286403 | − | 0.0127515i | ||||
\(505\) | −4.56115 | + | 6.27789i | −0.202969 | + | 0.279362i | ||||
\(506\) | −9.42800 | + | 10.4709i | −0.419126 | + | 0.465486i | ||||
\(507\) | −18.8092 | + | 20.5777i | −0.835347 | + | 0.913887i | ||||
\(508\) | 6.40516 | + | 1.36146i | 0.284183 | + | 0.0604050i | ||||
\(509\) | −13.6548 | − | 4.43671i | −0.605238 | − | 0.196654i | −0.00966294 | − | 0.999953i | \(-0.503076\pi\) |
−0.595575 | + | 0.803299i | \(0.703076\pi\) | |||||||
\(510\) | −1.36963 | + | 13.0312i | −0.0606482 | + | 0.577029i | ||||
\(511\) | −0.119140 | + | 0.0253239i | −0.00527043 | + | 0.00112026i | ||||
\(512\) | 14.6918 | + | 4.77366i | 0.649292 | + | 0.210968i | ||||
\(513\) | 0.967675 | − | 1.33189i | 0.0427239 | − | 0.0588044i | ||||
\(514\) | 18.0723 | − | 16.2724i | 0.797135 | − | 0.717743i | ||||
\(515\) | 6.99302 | − | 32.8996i | 0.308149 | − | 1.44973i | ||||
\(516\) | −1.11062 | − | 10.5669i | −0.0488924 | − | 0.465180i | ||||
\(517\) | −3.18643 | − | 9.80683i | −0.140139 | − | 0.431304i | ||||
\(518\) | 1.00602 | − | 1.38466i | 0.0442018 | − | 0.0608386i | ||||
\(519\) | 24.5080 | + | 17.8061i | 1.07578 | + | 0.781601i | ||||
\(520\) | 37.2501 | − | 7.77206i | 1.63353 | − | 0.340827i | ||||
\(521\) | 12.9656 | − | 22.4571i | 0.568034 | − | 0.983864i | −0.428726 | − | 0.903434i | \(-0.641038\pi\) |
0.996760 | − | 0.0804292i | \(-0.0256291\pi\) | |||||||
\(522\) | 6.93880i | 0.303703i | ||||||||
\(523\) | −1.39293 | − | 13.2528i | −0.0609086 | − | 0.579507i | −0.981831 | − | 0.189760i | \(-0.939229\pi\) |
0.920922 | − | 0.389747i | \(-0.127438\pi\) | |||||||
\(524\) | 1.49020 | − | 4.58637i | 0.0650997 | − | 0.200356i | ||||
\(525\) | −2.06269 | + | 0.670207i | −0.0900230 | + | 0.0292502i | ||||
\(526\) | −4.36834 | + | 2.52206i | −0.190468 | + | 0.109967i | ||||
\(527\) | −9.10538 | + | 1.87685i | −0.396637 | + | 0.0817567i | ||||
\(528\) | − | 5.67319i | − | 0.246894i | ||||||
\(529\) | 20.3681 | − | 22.6211i | 0.885569 | − | 0.983525i | ||||
\(530\) | 46.7657 | − | 9.94035i | 2.03137 | − | 0.431781i | ||||
\(531\) | −15.0962 | + | 1.58667i | −0.655118 | + | 0.0688557i | ||||
\(532\) | 0.0349987 | + | 0.0606196i | 0.00151739 | + | 0.00262819i | ||||
\(533\) | −2.65216 | − | 3.67928i | −0.114878 | − | 0.159367i | ||||
\(534\) | 2.93212 | + | 27.8973i | 0.126885 | + | 1.20723i | ||||
\(535\) | 12.1785 | + | 27.3534i | 0.526524 | + | 1.18259i | ||||
\(536\) | 1.83453 | + | 1.33286i | 0.0792395 | + | 0.0575708i | ||||
\(537\) | −50.5547 | − | 10.7457i | −2.18160 | − | 0.463713i | ||||
\(538\) | −7.77666 | + | 17.4667i | −0.335276 | + | 0.753041i | ||||
\(539\) | 12.1113 | − | 3.93519i | 0.521669 | − | 0.169501i | ||||
\(540\) | 6.83886 | − | 6.15774i | 0.294298 | − | 0.264987i | ||||
\(541\) | −9.45364 | − | 21.2332i | −0.406444 | − | 0.912887i | −0.994565 | − | 0.104115i | \(-0.966799\pi\) |
0.588122 | − | 0.808772i | \(-0.299868\pi\) | |||||||
\(542\) | 15.2482 | − | 3.24110i | 0.654966 | − | 0.139217i | ||||
\(543\) | −12.8768 | − | 14.3011i | −0.552596 | − | 0.613720i | ||||
\(544\) | 7.57532 | + | 0.796198i | 0.324789 | + | 0.0341367i | ||||
\(545\) | −59.0097 | + | 12.5429i | −2.52770 | + | 0.537279i | ||||
\(546\) | 0.952067 | + | 0.697180i | 0.0407447 | + | 0.0298365i | ||||
\(547\) | 4.25547 | + | 1.89466i | 0.181951 | + | 0.0810096i | 0.495690 | − | 0.868499i | \(-0.334915\pi\) |
−0.313740 | + | 0.949509i | \(0.601582\pi\) | |||||||
\(548\) | 4.43814 | − | 1.44204i | 0.189588 | − | 0.0616009i | ||||
\(549\) | 3.71834 | + | 2.70153i | 0.158695 | + | 0.115298i | ||||
\(550\) | −1.41029 | + | 13.4180i | −0.0601350 | + | 0.572146i | ||||
\(551\) | −2.23870 | + | 0.235297i | −0.0953720 | + | 0.0100240i | ||||
\(552\) | 47.7619i | 2.03288i | ||||||||
\(553\) | 0.297969 | + | 0.172032i | 0.0126709 | + | 0.00731556i | ||||
\(554\) | −14.1596 | − | 19.4889i | −0.601582 | − | 0.828006i | ||||
\(555\) | −25.7452 | + | 79.2356i | −1.09282 | + | 3.36336i | ||||
\(556\) | −16.9615 | − | 3.60528i | −0.719328 | − | 0.152898i | ||||
\(557\) | 21.2632 | + | 12.2763i | 0.900949 | + | 0.520163i | 0.877508 | − | 0.479562i | \(-0.159204\pi\) |
0.0234413 | + | 0.999725i | \(0.492538\pi\) | |||||||
\(558\) | 8.11512 | + | 4.75217i | 0.343540 | + | 0.201175i | ||||
\(559\) | 16.3893 | − | 11.8140i | 0.693194 | − | 0.499679i | ||||
\(560\) | −0.224226 | − | 0.690097i | −0.00947528 | − | 0.0291619i | ||||
\(561\) | −1.35845 | − | 6.39102i | −0.0573540 | − | 0.269829i | ||||
\(562\) | −2.98933 | − | 28.4416i | −0.126097 | − | 1.19974i | ||||
\(563\) | 16.6429 | − | 28.8263i | 0.701414 | − | 1.21488i | −0.266556 | − | 0.963819i | \(-0.585886\pi\) |
0.967970 | − | 0.251065i | \(-0.0807809\pi\) | |||||||
\(564\) | −9.28001 | − | 5.35781i | −0.390759 | − | 0.225605i | ||||
\(565\) | 13.4892 | + | 18.5663i | 0.567496 | + | 0.781091i | ||||
\(566\) | 0.594891 | + | 0.0625255i | 0.0250051 | + | 0.00262814i | ||||
\(567\) | 1.61505 | + | 0.169749i | 0.0678259 | + | 0.00712879i | ||||
\(568\) | 23.4301 | + | 4.98022i | 0.983106 | + | 0.208966i | ||||
\(569\) | 16.2618 | − | 11.8149i | 0.681728 | − | 0.495305i | −0.192202 | − | 0.981355i | \(-0.561563\pi\) |
0.873931 | + | 0.486051i | \(0.161563\pi\) | |||||||
\(570\) | 3.19541 | + | 2.87716i | 0.133841 | + | 0.120511i | ||||
\(571\) | 39.7054 | − | 8.43965i | 1.66162 | − | 0.353188i | 0.721075 | − | 0.692857i | \(-0.243648\pi\) |
0.940545 | + | 0.339669i | \(0.110315\pi\) | |||||||
\(572\) | −5.04854 | + | 2.88962i | −0.211090 | + | 0.120821i | ||||
\(573\) | 7.94403 | − | 24.4492i | 0.331867 | − | 1.02138i | ||||
\(574\) | −0.142667 | + | 0.128458i | −0.00595481 | + | 0.00536173i | ||||
\(575\) | 5.34889 | − | 50.8912i | 0.223064 | − | 2.12231i | ||||
\(576\) | −8.25807 | − | 9.17152i | −0.344086 | − | 0.382147i | ||||
\(577\) | −3.23258 | + | 15.2081i | −0.134574 | + | 0.633120i | 0.858220 | + | 0.513283i | \(0.171571\pi\) |
−0.992793 | + | 0.119838i | \(0.961763\pi\) | |||||||
\(578\) | 14.9301 | − | 1.56921i | 0.621009 | − | 0.0652707i | ||||
\(579\) | −4.08090 | + | 19.1991i | −0.169596 | + | 0.797887i | ||||
\(580\) | −12.5140 | − | 1.31527i | −0.519615 | − | 0.0546138i | ||||
\(581\) | 0.146831 | − | 1.39701i | 0.00609158 | − | 0.0579576i | ||||
\(582\) | 2.12666 | + | 0.946852i | 0.0881531 | + | 0.0392483i | ||||
\(583\) | −20.6467 | + | 11.9204i | −0.855099 | + | 0.493691i | ||||
\(584\) | 1.28423 | + | 2.22435i | 0.0531417 | + | 0.0920442i | ||||
\(585\) | −18.9706 | − | 6.24257i | −0.784338 | − | 0.258098i | ||||
\(586\) | −9.89736 | − | 10.9921i | −0.408856 | − | 0.454081i | ||||
\(587\) | 8.38491 | − | 39.4479i | 0.346082 | − | 1.62819i | −0.369198 | − | 0.929351i | \(-0.620367\pi\) |
0.715280 | − | 0.698838i | \(-0.246299\pi\) | |||||||
\(588\) | 6.61681 | − | 11.4606i | 0.272873 | − | 0.472629i | ||||
\(589\) | −1.25803 | + | 2.77937i | −0.0518364 | + | 0.114522i | ||||
\(590\) | 34.7371i | 1.43010i | ||||||||
\(591\) | −34.7399 | − | 31.2800i | −1.42901 | − | 1.28669i | ||||
\(592\) | −15.4637 | − | 5.02446i | −0.635554 | − | 0.206504i | ||||
\(593\) | 1.83738 | + | 2.52894i | 0.0754523 | + | 0.103851i | 0.845075 | − | 0.534648i | \(-0.179556\pi\) |
−0.769623 | + | 0.638499i | \(0.779556\pi\) | |||||||
\(594\) | 2.89548 | − | 5.01512i | 0.118803 | − | 0.205773i | ||||
\(595\) | −0.417842 | − | 0.723723i | −0.0171298 | − | 0.0296698i | ||||
\(596\) | −2.73644 | + | 6.14614i | −0.112089 | + | 0.251756i | ||||
\(597\) | 34.2560 | + | 24.8884i | 1.40200 | + | 1.01861i | ||||
\(598\) | −24.1637 | + | 13.8305i | −0.988128 | + | 0.565572i | ||||
\(599\) | −4.68333 | + | 5.20137i | −0.191356 | + | 0.212522i | −0.831186 | − | 0.555994i | \(-0.812338\pi\) |
0.639831 | + | 0.768516i | \(0.279004\pi\) | |||||||
\(600\) | 26.8822 | + | 37.0002i | 1.09746 | + | 1.51053i | ||||
\(601\) | −7.96616 | + | 8.84732i | −0.324946 | + | 0.360890i | −0.883378 | − | 0.468661i | \(-0.844737\pi\) |
0.558432 | + | 0.829550i | \(0.311403\pi\) | |||||||
\(602\) | −0.572214 | − | 0.635509i | −0.0233217 | − | 0.0259014i | ||||
\(603\) | −0.484067 | − | 1.08723i | −0.0197127 | − | 0.0442755i | ||||
\(604\) | −1.42784 | − | 6.71744i | −0.0580978 | − | 0.273329i | ||||
\(605\) | 5.52458 | + | 25.9911i | 0.224606 | + | 1.05669i | ||||
\(606\) | 2.06398 | + | 4.63577i | 0.0838433 | + | 0.188315i | ||||
\(607\) | −2.99049 | − | 3.32128i | −0.121380 | − | 0.134807i | 0.679392 | − | 0.733776i | \(-0.262244\pi\) |
−0.800772 | + | 0.598969i | \(0.795577\pi\) | |||||||
\(608\) | 1.67256 | − | 1.85757i | 0.0678313 | − | 0.0753343i | ||||
\(609\) | −0.748158 | − | 1.02975i | −0.0303169 | − | 0.0417276i | ||||
\(610\) | 7.03789 | − | 7.81637i | 0.284956 | − | 0.316475i | ||||
\(611\) | 0.0763124 | − | 20.3755i | 0.00308727 | − | 0.824305i | ||||
\(612\) | −1.90986 | − | 1.38759i | −0.0772015 | − | 0.0560902i | ||||
\(613\) | −17.2186 | + | 38.6736i | −0.695453 | + | 1.56201i | 0.126187 | + | 0.992006i | \(0.459726\pi\) |
−0.821640 | + | 0.570007i | \(0.806941\pi\) | |||||||
\(614\) | −11.7285 | − | 20.3144i | −0.473324 | − | 0.819821i | ||||
\(615\) | 4.67249 | − | 8.09298i | 0.188413 | − | 0.326341i | ||||
\(616\) | 0.472083 | + | 0.649767i | 0.0190208 | + | 0.0261799i | ||||
\(617\) | 27.1885 | + | 8.83408i | 1.09457 | + | 0.355647i | 0.800010 | − | 0.599987i | \(-0.204828\pi\) |
0.294558 | + | 0.955634i | \(0.404828\pi\) | |||||||
\(618\) | −16.3454 | − | 14.7174i | −0.657507 | − | 0.592022i | ||||
\(619\) | 3.44047i | 0.138284i | 0.997607 | + | 0.0691421i | \(0.0220262\pi\) | ||||
−0.997607 | + | 0.0691421i | \(0.977974\pi\) | |||||||
\(620\) | −10.1087 | + | 13.7347i | −0.405976 | + | 0.551598i | ||||
\(621\) | −10.9818 | + | 19.0211i | −0.440686 | + | 0.763291i | ||||
\(622\) | −0.737948 | + | 3.47177i | −0.0295890 | + | 0.139205i | ||||
\(623\) | −1.19710 | − | 1.32952i | −0.0479609 | − | 0.0532660i | ||||
\(624\) | 3.50408 | − | 10.6486i | 0.140275 | − | 0.426284i | ||||
\(625\) | 5.50008 | + | 9.52642i | 0.220003 | + | 0.381057i | ||||
\(626\) | −8.87172 | + | 5.12209i | −0.354585 | + | 0.204720i | ||||
\(627\) | −1.95876 | − | 0.872095i | −0.0782252 | − | 0.0348281i | ||||
\(628\) | −1.33050 | + | 12.6588i | −0.0530925 | + | 0.505142i | ||||
\(629\) | −18.6234 | − | 1.95740i | −0.742565 | − | 0.0780467i | ||||
\(630\) | −0.175755 | + | 0.826861i | −0.00700224 | + | 0.0329429i | ||||
\(631\) | −0.0539352 | + | 0.00566882i | −0.00214713 | + | 0.000225672i | −0.105602 | − | 0.994408i | \(-0.533677\pi\) |
0.103455 | + | 0.994634i | \(0.467010\pi\) | |||||||
\(632\) | 1.50848 | − | 7.09684i | 0.0600041 | − | 0.282297i | ||||
\(633\) | 26.4938 | + | 29.4243i | 1.05303 | + | 1.16951i | ||||
\(634\) | 1.60897 | − | 15.3083i | 0.0639003 | − | 0.607971i | ||||
\(635\) | −19.0653 | + | 17.1664i | −0.756582 | + | 0.681230i | ||||
\(636\) | −7.65592 | + | 23.5625i | −0.303577 | + | 0.934314i | ||||
\(637\) | 25.1634 | + | 0.0942445i | 0.997011 | + | 0.00373410i | ||||
\(638\) | −7.74509 | + | 1.64627i | −0.306631 | + | 0.0651764i | ||||
\(639\) | −9.34263 | − | 8.41214i | −0.369589 | − | 0.332779i | ||||
\(640\) | 2.71995 | − | 1.97616i | 0.107516 | − | 0.0781147i | ||||
\(641\) | −14.3343 | − | 3.04684i | −0.566169 | − | 0.120343i | −0.0840703 | − | 0.996460i | \(-0.526792\pi\) |
−0.482099 | + | 0.876117i | \(0.660125\pi\) | |||||||
\(642\) | 19.4730 | + | 2.04669i | 0.768536 | + | 0.0807764i | ||||
\(643\) | 23.0540 | + | 2.42308i | 0.909163 | + | 0.0955568i | 0.547551 | − | 0.836772i | \(-0.315560\pi\) |
0.361611 | + | 0.932329i | \(0.382227\pi\) | |||||||
\(644\) | −0.548903 | − | 0.755500i | −0.0216298 | − | 0.0297709i | ||||
\(645\) | 36.0501 | + | 20.8135i | 1.41947 | + | 0.819532i | ||||
\(646\) | −0.483231 | + | 0.836980i | −0.0190125 | + | 0.0329305i | ||||
\(647\) | 0.365145 | + | 3.47412i | 0.0143553 | + | 0.136582i | 0.999352 | − | 0.0359909i | \(-0.0114587\pi\) |
−0.984997 | + | 0.172573i | \(0.944792\pi\) | |||||||
\(648\) | −7.11987 | − | 33.4963i | −0.279695 | − | 1.31586i | ||||
\(649\) | −5.35270 | − | 16.4739i | −0.210112 | − | 0.646657i | ||||
\(650\) | −10.9348 | + | 24.3145i | −0.428899 | + | 0.953694i | ||||
\(651\) | −1.71671 | + | 0.169746i | −0.0672833 | + | 0.00665288i | ||||
\(652\) | −0.649875 | − | 0.375205i | −0.0254511 | − | 0.0146942i | ||||
\(653\) | −35.7396 | − | 7.59669i | −1.39860 | − | 0.297281i | −0.553927 | − | 0.832566i | \(-0.686871\pi\) |
−0.844672 | + | 0.535284i | \(0.820205\pi\) | |||||||
\(654\) | −12.1909 | + | 37.5198i | −0.476703 | + | 1.46714i | ||||
\(655\) | 11.1052 | + | 15.2849i | 0.433915 | + | 0.597232i | ||||
\(656\) | 1.57943 | + | 0.911887i | 0.0616666 | + | 0.0356032i | ||||
\(657\) | − | 1.34802i | − | 0.0525914i | ||||||
\(658\) | −0.857725 | + | 0.0901505i | −0.0334376 | + | 0.00351443i | ||||
\(659\) | −1.32278 | + | 12.5854i | −0.0515280 | + | 0.490256i | 0.938075 | + | 0.346432i | \(0.112607\pi\) |
−0.989603 | + | 0.143824i | \(0.954060\pi\) | |||||||
\(660\) | −9.69634 | − | 7.04480i | −0.377429 | − | 0.274219i | ||||
\(661\) | 26.4244 | − | 8.58580i | 1.02779 | − | 0.333949i | 0.253873 | − | 0.967238i | \(-0.418295\pi\) |
0.773916 | + | 0.633289i | \(0.218295\pi\) | |||||||
\(662\) | 12.3232 | + | 5.48665i | 0.478955 | + | 0.213245i | ||||
\(663\) | 1.39763 | − | 12.8350i | 0.0542796 | − | 0.498470i | ||||
\(664\) | −28.9740 | + | 6.15861i | −1.12441 | + | 0.239000i | ||||
\(665\) | −0.272735 | − | 0.0286656i | −0.0105762 | − | 0.00111160i | ||||
\(666\) | 12.6749 | + | 14.0769i | 0.491141 | + | 0.545467i | ||||
\(667\) | 29.3752 | − | 6.24390i | 1.13741 | − | 0.241765i | ||||
\(668\) | 2.12208 | + | 4.76626i | 0.0821056 | + | 0.184412i | ||||
\(669\) | −25.7445 | + | 23.1805i | −0.995341 | + | 0.896209i | ||||
\(670\) | −2.59023 | + | 0.841618i | −0.100069 | + | 0.0325145i | ||||
\(671\) | −2.13325 | + | 4.79136i | −0.0823532 | + | 0.184968i | ||||
\(672\) | 1.38251 | + | 0.293862i | 0.0533315 | + | 0.0113360i | ||||
\(673\) | 35.8888 | + | 26.0747i | 1.38341 | + | 1.00511i | 0.996552 | + | 0.0829669i | \(0.0264396\pi\) |
0.386858 | + | 0.922139i | \(0.373560\pi\) | |||||||
\(674\) | −0.187905 | − | 0.422042i | −0.00723784 | − | 0.0162565i | ||||
\(675\) | 2.19839 | + | 20.9163i | 0.0846162 | + | 0.805069i | ||||
\(676\) | −11.2609 | + | 2.30555i | −0.433111 | + | 0.0886752i | ||||
\(677\) | −16.0776 | − | 27.8471i | −0.617911 | − | 1.07025i | −0.989866 | − | 0.142002i | \(-0.954646\pi\) |
0.371956 | − | 0.928251i | \(-0.378687\pi\) | |||||||
\(678\) | 14.9251 | − | 1.56869i | 0.573196 | − | 0.0602453i | ||||
\(679\) | −0.145227 | + | 0.0308689i | −0.00557329 | + | 0.00118464i | ||||
\(680\) | −11.7916 | + | 13.0959i | −0.452187 | + | 0.502205i | ||||
\(681\) | − | 36.2416i | − | 1.38878i | ||||||
\(682\) | −3.37902 | + | 10.1856i | −0.129389 | + | 0.390026i | ||||
\(683\) | 11.7370 | − | 6.77634i | 0.449102 | − | 0.259289i | −0.258349 | − | 0.966052i | \(-0.583178\pi\) |
0.707451 | + | 0.706762i | \(0.249845\pi\) | |||||||
\(684\) | −0.736774 | + | 0.239392i | −0.0281713 | + | 0.00915340i | ||||
\(685\) | −5.64965 | + | 17.3878i | −0.215862 | + | 0.664354i | ||||
\(686\) | −0.223002 | − | 2.12172i | −0.00851424 | − | 0.0810076i | ||||
\(687\) | 27.7212i | 1.05763i | ||||||||
\(688\) | −4.06199 | + | 7.03557i | −0.154862 | + | 0.268229i | ||||
\(689\) | −46.1165 | + | 9.62198i | −1.75690 | + | 0.366568i | ||||
\(690\) | −46.4094 | − | 33.7184i | −1.76677 | − | 1.28364i | ||||
\(691\) | −13.8797 | + | 19.1038i | −0.528008 | + | 0.726741i | −0.986825 | − | 0.161790i | \(-0.948273\pi\) |
0.458817 | + | 0.888531i | \(0.348273\pi\) | |||||||
\(692\) | 3.85965 | + | 11.8788i | 0.146722 | + | 0.451564i | ||||
\(693\) | −0.0440616 | − | 0.419218i | −0.00167376 | − | 0.0159248i | ||||
\(694\) | −6.96061 | + | 32.7471i | −0.264221 | + | 1.24306i | ||||
\(695\) | 50.4867 | − | 45.4584i | 1.91507 | − | 1.72434i | ||||
\(696\) | −15.7766 | + | 21.7146i | −0.598011 | + | 0.823091i | ||||
\(697\) | 1.99763 | + | 0.649070i | 0.0756657 | + | 0.0245853i | ||||
\(698\) | 20.0295 | − | 4.25740i | 0.758127 | − | 0.161145i | ||||
\(699\) | −2.53754 | + | 24.1431i | −0.0959786 | + | 0.913175i | ||||
\(700\) | −0.850450 | − | 0.276328i | −0.0321440 | − | 0.0104442i | ||||
\(701\) | 1.81235 | + | 0.385228i | 0.0684517 | + | 0.0145499i | 0.242010 | − | 0.970274i | \(-0.422193\pi\) |
−0.173559 | + | 0.984824i | \(0.555527\pi\) | |||||||
\(702\) | 8.53243 | − | 7.62496i | 0.322036 | − | 0.287786i | ||||
\(703\) | −4.11188 | + | 4.56671i | −0.155083 | + | 0.172237i | ||||
\(704\) | 8.27798 | − | 11.3937i | 0.311988 | − | 0.429415i | ||||
\(705\) | 38.3523 | − | 17.0756i | 1.44443 | − | 0.643103i | ||||
\(706\) | −11.6915 | + | 8.49437i | −0.440015 | + | 0.319690i | ||||
\(707\) | −0.280282 | − | 0.161821i | −0.0105411 | − | 0.00608590i | ||||
\(708\) | −15.5889 | − | 9.00027i | −0.585868 | − | 0.338251i | ||||
\(709\) | 10.7170 | − | 24.0708i | 0.402485 | − | 0.903997i | −0.592648 | − | 0.805461i | \(-0.701918\pi\) |
0.995134 | − | 0.0985355i | \(-0.0314158\pi\) | |||||||
\(710\) | −21.3801 | + | 19.2507i | −0.802381 | + | 0.722467i | ||||
\(711\) | −2.54799 | + | 2.82982i | −0.0955569 | + | 0.106127i | ||||
\(712\) | −18.8630 | + | 32.6717i | −0.706921 | + | 1.22442i | ||||
\(713\) | 12.8158 | − | 38.6314i | 0.479955 | − | 1.44676i | ||||
\(714\) | −0.546484 | −0.0204516 | ||||||||
\(715\) | 2.46707 | − | 22.6561i | 0.0922633 | − | 0.847289i | ||||
\(716\) | −14.2588 | − | 15.8360i | −0.532877 | − | 0.591820i | ||||
\(717\) | 35.3806 | − | 3.71865i | 1.32131 | − | 0.138875i | ||||
\(718\) | 29.9809 | 1.11888 | ||||||||
\(719\) | −42.3088 | −1.57785 | −0.788926 | − | 0.614488i | \(-0.789362\pi\) | ||||
−0.788926 | + | 0.614488i | \(0.789362\pi\) | |||||||
\(720\) | 7.98663 | − | 0.839429i | 0.297644 | − | 0.0312837i | ||||
\(721\) | 1.39511 | + | 0.146632i | 0.0519566 | + | 0.00546086i | ||||
\(722\) | −8.03423 | − | 18.0452i | −0.299003 | − | 0.671572i | ||||
\(723\) | −28.0631 | − | 25.2681i | −1.04368 | − | 0.939730i | ||||
\(724\) | −0.829368 | − | 7.89091i | −0.0308232 | − | 0.293263i | ||||
\(725\) | 19.2421 | − | 21.3705i | 0.714634 | − | 0.793682i | ||||
\(726\) | 16.5258 | + | 5.36955i | 0.613329 | + | 0.199283i | ||||
\(727\) | −40.2678 | + | 17.9284i | −1.49345 | + | 0.664927i | −0.981038 | − | 0.193814i | \(-0.937914\pi\) |
−0.512411 | + | 0.858740i | \(0.671248\pi\) | |||||||
\(728\) | 0.484768 | + | 1.51120i | 0.0179667 | + | 0.0560087i | ||||
\(729\) | 0.419280 | − | 1.29041i | 0.0155289 | − | 0.0477930i | ||||
\(730\) | −3.06798 | − | 0.322458i | −0.113551 | − | 0.0119347i | ||||
\(731\) | −2.89128 | + | 8.89843i | −0.106938 | + | 0.329120i | ||||
\(732\) | 1.68425 | + | 5.18359i | 0.0622516 | + | 0.191591i | ||||
\(733\) | −11.1850 | + | 25.1219i | −0.413126 | + | 0.927897i | 0.580404 | + | 0.814329i | \(0.302895\pi\) |
−0.993530 | + | 0.113568i | \(0.963772\pi\) | |||||||
\(734\) | 0.845878 | − | 3.97954i | 0.0312219 | − | 0.146888i | ||||
\(735\) | 21.0880 | + | 47.3645i | 0.777843 | + | 1.74706i | ||||
\(736\) | −19.6013 | + | 26.9788i | −0.722513 | + | 0.994454i | ||||
\(737\) | 1.09872 | − | 0.798267i | 0.0404719 | − | 0.0294046i | ||||
\(738\) | −1.06235 | − | 1.84004i | −0.0391055 | − | 0.0677327i | ||||
\(739\) | − | 53.3000i | − | 1.96067i | −0.197335 | − | 0.980336i | \(-0.563229\pi\) | ||
0.197335 | − | 0.980336i | \(-0.436771\pi\) | |||||||
\(740\) | −27.7899 | + | 20.1906i | −1.02158 | + | 0.742220i | ||||
\(741\) | −3.13793 | − | 2.84676i | −0.115275 | − | 0.104578i | ||||
\(742\) | 0.616188 | + | 1.89643i | 0.0226210 | + | 0.0696202i | ||||
\(743\) | 37.3023 | + | 21.5365i | 1.36849 | + | 0.790097i | 0.990735 | − | 0.135810i | \(-0.0433635\pi\) |
0.377753 | + | 0.925906i | \(0.376697\pi\) | |||||||
\(744\) | 14.5910 | + | 33.3229i | 0.534930 | + | 1.22168i | ||||
\(745\) | −13.1791 | − | 22.8269i | −0.482846 | − | 0.836313i | ||||
\(746\) | −0.643286 | + | 0.209016i | −0.0235524 | + | 0.00765262i | ||||
\(747\) | 14.7855 | + | 4.80410i | 0.540973 | + | 0.175773i | ||||
\(748\) | 1.09571 | − | 2.46100i | 0.0400630 | − | 0.0899831i | ||||
\(749\) | −1.08149 | + | 0.624396i | −0.0395167 | + | 0.0228149i | ||||
\(750\) | −15.6943 | −0.573075 | ||||||||
\(751\) | 12.6722 | + | 5.64204i | 0.462416 | + | 0.205881i | 0.624702 | − | 0.780863i | \(-0.285220\pi\) |
−0.162287 | + | 0.986744i | \(0.551887\pi\) | |||||||
\(752\) | 3.33248 | + | 7.48488i | 0.121523 | + | 0.272945i | ||||
\(753\) | 2.84125 | − | 27.0327i | 0.103541 | − | 0.985127i | ||||
\(754\) | −15.5543 | − | 1.69375i | −0.566456 | − | 0.0616827i | ||||
\(755\) | 24.5795 | + | 10.9435i | 0.894540 | + | 0.398275i | ||||
\(756\) | 0.285228 | + | 0.256821i | 0.0103736 | + | 0.00934048i | ||||
\(757\) | −1.78552 | + | 5.49527i | −0.0648959 | + | 0.199729i | −0.978247 | − | 0.207444i | \(-0.933485\pi\) |
0.913351 | + | 0.407173i | \(0.133485\pi\) | |||||||
\(758\) | −10.3434 | − | 7.51492i | −0.375689 | − | 0.272954i | ||||
\(759\) | 27.2052 | + | 8.83949i | 0.987485 | + | 0.320853i | ||||
\(760\) | 1.20233 | + | 5.65654i | 0.0436133 | + | 0.205184i | ||||
\(761\) | −16.3110 | + | 22.4502i | −0.591274 | + | 0.813819i | −0.994875 | − | 0.101116i | \(-0.967759\pi\) |
0.403600 | + | 0.914935i | \(0.367759\pi\) | |||||||
\(762\) | 3.48806 | + | 16.4100i | 0.126359 | + | 0.594473i | ||||
\(763\) | −0.777517 | − | 2.39295i | −0.0281480 | − | 0.0866307i | ||||
\(764\) | 8.57495 | − | 6.23007i | 0.310231 | − | 0.225396i | ||||
\(765\) | 8.79617 | − | 2.85805i | 0.318026 | − | 0.103333i | ||||
\(766\) | 1.45333 | − | 13.8275i | 0.0525108 | − | 0.499607i | ||||
\(767\) | 0.128193 | − | 34.2276i | 0.00462876 | − | 1.23589i | ||||
\(768\) | −3.69015 | − | 35.1095i | −0.133157 | − | 1.26690i | ||||
\(769\) | 27.9715 | − | 16.1493i | 1.00868 | − | 0.582360i | 0.0978728 | − | 0.995199i | \(-0.468796\pi\) |
0.910804 | + | 0.412839i | \(0.135463\pi\) | |||||||
\(770\) | −0.964642 | −0.0347633 | ||||||||
\(771\) | −45.1031 | − | 20.0812i | −1.62435 | − | 0.723206i | ||||
\(772\) | −6.01403 | + | 5.41506i | −0.216450 | + | 0.194892i | ||||
\(773\) | −11.8021 | − | 10.6267i | −0.424493 | − | 0.382215i | 0.429013 | − | 0.903298i | \(-0.358861\pi\) |
−0.853506 | + | 0.521083i | \(0.825528\pi\) | |||||||
\(774\) | 8.19642 | − | 4.73221i | 0.294614 | − | 0.170096i | ||||
\(775\) | −11.8151 | − | 37.1402i | −0.424411 | − | 1.33412i | ||||
\(776\) | 1.56542 | + | 2.71139i | 0.0561954 | + | 0.0973334i | ||||
\(777\) | −3.39881 | − | 0.722440i | −0.121932 | − | 0.0259174i | ||||
\(778\) | 2.43589 | + | 11.4599i | 0.0873308 | + | 0.410859i | ||||
\(779\) | 0.557637 | − | 0.405147i | 0.0199794 | − | 0.0145159i | ||||
\(780\) | −13.8487 | − | 19.2121i | −0.495865 | − | 0.687903i | ||||
\(781\) | 7.17304 | − | 12.4241i | 0.256672 | − | 0.444568i | ||||
\(782\) | 5.24436 | − | 11.7790i | 0.187538 | − | 0.421217i | ||||
\(783\) | −11.2758 | + | 5.02033i | −0.402966 | + | 0.179412i | ||||
\(784\) | −9.24370 | + | 4.11556i | −0.330132 | + | 0.146984i | ||||
\(785\) | −37.0592 | − | 33.3682i | −1.32270 | − | 1.19096i | ||||
\(786\) | 12.2873 | − | 1.29145i | 0.438273 | − | 0.0460644i | ||||
\(787\) | −48.5050 | + | 15.7602i | −1.72902 | + | 0.561792i | −0.993307 | − | 0.115505i | \(-0.963151\pi\) |
−0.735710 | + | 0.677297i | \(0.763151\pi\) | |||||||
\(788\) | −4.00728 | − | 18.8528i | −0.142753 | − | 0.671602i | ||||
\(789\) | 8.28475 | + | 6.01922i | 0.294945 | + | 0.214290i | ||||
\(790\) | 5.83093 | + | 6.47590i | 0.207455 | + | 0.230402i | ||||
\(791\) | −0.711296 | + | 0.640454i | −0.0252908 | + | 0.0227719i | ||||
\(792\) | −8.12037 | + | 3.61542i | −0.288545 | + | 0.128468i | ||||
\(793\) | −6.96352 | + | 7.67576i | −0.247282 | + | 0.272574i | ||||
\(794\) | 10.1916 | + | 2.16629i | 0.361685 | + | 0.0768786i | ||||
\(795\) | −57.0529 | − | 78.5266i | −2.02346 | − | 2.78505i | ||||
\(796\) | 5.39481 | + | 16.6035i | 0.191214 | + | 0.588496i | ||||
\(797\) | 14.1236 | − | 6.28821i | 0.500282 | − | 0.222740i | −0.141051 | − | 0.990002i | \(-0.545048\pi\) |
0.641333 | + | 0.767262i | \(0.278382\pi\) | |||||||
\(798\) | −0.105410 | + | 0.145084i | −0.00373146 | + | 0.00513592i | ||||
\(799\) | 5.54640 | + | 7.63397i | 0.196218 | + | 0.270070i | ||||
\(800\) | 31.9324i | 1.12898i | ||||||||
\(801\) | 17.1473 | − | 9.90002i | 0.605872 | − | 0.349800i | ||||
\(802\) | −0.543353 | − | 0.241916i | −0.0191864 | − | 0.00854236i | ||||
\(803\) | 1.50466 | − | 0.319826i | 0.0530985 | − | 0.0112864i | ||||
\(804\) | 0.293430 | − | 1.38048i | 0.0103485 | − | 0.0486857i | ||||
\(805\) | 3.65865 | 0.128950 | ||||||||
\(806\) | −12.6336 | + | 17.0312i | −0.444999 | + | 0.599900i | ||||
\(807\) | 38.8165 | 1.36640 | ||||||||
\(808\) | −1.41894 | + | 6.67558i | −0.0499181 | + | 0.234846i | ||||
\(809\) | 27.6866 | − | 5.88497i | 0.973410 | − | 0.206905i | 0.306358 | − | 0.951916i | \(-0.400889\pi\) |
0.667051 | + | 0.745012i | \(0.267556\pi\) | |||||||
\(810\) | 37.5742 | + | 16.7291i | 1.32022 | + | 0.587801i | ||||
\(811\) | −13.7054 | + | 7.91284i | −0.481263 | + | 0.277857i | −0.720943 | − | 0.692995i | \(-0.756291\pi\) |
0.239680 | + | 0.970852i | \(0.422958\pi\) | |||||||
\(812\) | − | 0.524796i | − | 0.0184167i | ||||||
\(813\) | −18.6024 | − | 25.6040i | −0.652415 | − | 0.897972i | ||||
\(814\) | −12.7054 | + | 17.4875i | −0.445324 | + | 0.612936i | ||||
\(815\) | 2.68580 | − | 1.19579i | 0.0940793 | − | 0.0418868i | ||||
\(816\) | 1.60428 | + | 4.93747i | 0.0561611 | + | 0.172846i | ||||
\(817\) | 1.80472 | + | 2.48399i | 0.0631392 | + | 0.0869037i | ||||
\(818\) | −36.4694 | − | 7.75180i | −1.27512 | − | 0.271035i | ||||
\(819\) | 0.176229 | − | 0.814086i | 0.00615793 | − | 0.0284465i | ||||
\(820\) | 3.51985 | − | 1.56714i | 0.122918 | − | 0.0547268i | ||||
\(821\) | −13.4094 | + | 12.0739i | −0.467990 | + | 0.421380i | −0.869090 | − | 0.494654i | \(-0.835295\pi\) |
0.401100 | + | 0.916034i | \(0.368628\pi\) | |||||||
\(822\) | 7.99991 | + | 8.88480i | 0.279029 | + | 0.309893i | ||||
\(823\) | −36.6305 | − | 26.6136i | −1.27686 | − | 0.927693i | −0.277406 | − | 0.960753i | \(-0.589475\pi\) |
−0.999453 | + | 0.0330598i | \(0.989475\pi\) | |||||||
\(824\) | −6.15026 | − | 28.9347i | −0.214254 | − | 1.00799i | ||||
\(825\) | 26.0505 | − | 8.46433i | 0.906963 | − | 0.294690i | ||||
\(826\) | −1.44084 | + | 0.151438i | −0.0501332 | + | 0.00526922i | ||||
\(827\) | 12.7692 | + | 11.4975i | 0.444030 | + | 0.399806i | 0.860587 | − | 0.509303i | \(-0.170097\pi\) |
−0.416557 | + | 0.909109i | \(0.636764\pi\) | |||||||
\(828\) | 9.44176 | − | 4.20374i | 0.328124 | − | 0.146090i | ||||
\(829\) | 45.4202 | − | 20.2224i | 1.57751 | − | 0.702352i | 0.583547 | − | 0.812080i | \(-0.301665\pi\) |
0.993962 | + | 0.109728i | \(0.0349979\pi\) | |||||||
\(830\) | 14.4705 | − | 32.5013i | 0.502278 | − | 1.12814i | ||||
\(831\) | −24.4533 | + | 42.3543i | −0.848275 | + | 1.46925i | ||||
\(832\) | 22.5751 | − | 16.2729i | 0.782651 | − | 0.564163i | ||||
\(833\) | −9.42782 | + | 6.84971i | −0.326655 | + | 0.237329i | ||||
\(834\) | −9.23672 | − | 43.4554i | −0.319842 | − | 1.50474i | ||||
\(835\) | −19.9938 | − | 4.24982i | −0.691915 | − | 0.147071i | ||||
\(836\) | −0.442014 | − | 0.765591i | −0.0152874 | − | 0.0264785i | ||||
\(837\) | −1.85107 | + | 16.6257i | −0.0639823 | + | 0.574667i | ||||
\(838\) | 19.6275 | − | 11.3319i | 0.678021 | − | 0.391456i | ||||
\(839\) | 2.04351 | + | 1.83998i | 0.0705497 | + | 0.0635232i | 0.703651 | − | 0.710546i | \(-0.251552\pi\) |
−0.633102 | + | 0.774069i | \(0.718218\pi\) | |||||||
\(840\) | −2.43003 | + | 2.18801i | −0.0838442 | + | 0.0754936i | ||||
\(841\) | −11.0751 | − | 4.93095i | −0.381900 | − | 0.170033i | ||||
\(842\) | 36.9874 | 1.27467 | ||||||||
\(843\) | −50.2813 | + | 29.0299i | −1.73178 | + | 0.999844i | ||||
\(844\) | 1.70641 | + | 16.2354i | 0.0587371 | + | 0.558846i | ||||
\(845\) | 18.6243 | − | 41.0016i | 0.640697 | − | 1.41050i | ||||
\(846\) | 0.997732 | − | 9.49279i | 0.0343027 | − | 0.326369i | ||||
\(847\) | −1.05399 | + | 0.342461i | −0.0362154 | + | 0.0117671i | ||||
\(848\) | 15.3253 | − | 11.1345i | 0.526274 | − | 0.382360i | ||||
\(849\) | −0.375268 | − | 1.15496i | −0.0128792 | − | 0.0396380i | ||||
\(850\) | −2.56698 | − | 12.0767i | −0.0880468 | − | 0.414228i | ||||
\(851\) | 48.1885 | − | 66.3258i | 1.65188 | − | 2.27362i | ||||
\(852\) | −3.09961 | − | 14.5825i | −0.106191 | − | 0.499589i | ||||
\(853\) | 50.0490 | + | 16.2619i | 1.71365 | + | 0.556797i | 0.990934 | − | 0.134352i | \(-0.0428953\pi\) |
0.722712 | + | 0.691149i | \(0.242895\pi\) | |||||||
\(854\) | 0.354893 | + | 0.257845i | 0.0121442 | + | 0.00882327i | ||||
\(855\) | 0.937895 | − | 2.88654i | 0.0320753 | − | 0.0987177i | ||||
\(856\) | 19.5697 | + | 17.6206i | 0.668878 | + | 0.602261i | ||||
\(857\) | 19.7605 | + | 8.79793i | 0.675005 | + | 0.300531i | 0.715464 | − | 0.698650i | \(-0.246215\pi\) |
−0.0404592 | + | 0.999181i | \(0.512882\pi\) | |||||||
\(858\) | −12.0241 | − | 8.80498i | −0.410494 | − | 0.300597i | ||||
\(859\) | −0.463918 | + | 4.41389i | −0.0158287 | + | 0.150600i | −0.999581 | − | 0.0289285i | \(-0.990790\pi\) |
0.983753 | + | 0.179528i | \(0.0574572\pi\) | |||||||
\(860\) | 6.98079 | + | 15.6791i | 0.238043 | + | 0.534653i | ||||
\(861\) | 0.356055 | + | 0.158526i | 0.0121343 | + | 0.00540254i | ||||
\(862\) | 27.1325 | 0.924137 | ||||||||
\(863\) | 47.4297 | − | 27.3835i | 1.61452 | − | 0.932146i | 0.626221 | − | 0.779646i | \(-0.284601\pi\) |
0.988303 | − | 0.152501i | \(-0.0487326\pi\) | |||||||
\(864\) | 5.57469 | − | 12.5210i | 0.189655 | − | 0.425972i | ||||
\(865\) | −46.5389 | − | 15.1214i | −1.58237 | − | 0.514143i | ||||
\(866\) | 24.8782 | − | 8.08343i | 0.845397 | − | 0.274686i | ||||
\(867\) | −15.2389 | − | 26.3946i | −0.517540 | − | 0.896406i | ||||
\(868\) | −0.613763 | − | 0.359417i | −0.0208325 | − | 0.0121994i | ||||
\(869\) | −3.76317 | − | 2.17267i | −0.127657 | − | 0.0737028i | ||||
\(870\) | −9.96193 | − | 30.6597i | −0.337741 | − | 1.03946i | ||||
\(871\) | 2.55535 | − | 0.819716i | 0.0865848 | − | 0.0277750i | ||||
\(872\) | −42.9245 | + | 31.1865i | −1.45361 | + | 1.05611i | ||||
\(873\) | − | 1.64319i | − | 0.0556135i | ||||||
\(874\) | −2.11560 | − | 3.66433i | −0.0715613 | − | 0.123948i | ||||
\(875\) | 0.809791 | − | 0.588348i | 0.0273759 | − | 0.0198898i | ||||
\(876\) | 0.939614 | − | 1.29327i | 0.0317466 | − | 0.0436954i | ||||
\(877\) | 1.55413 | + | 3.49064i | 0.0524793 | + | 0.117870i | 0.937882 | − | 0.346954i | \(-0.112784\pi\) |
−0.885403 | + | 0.464825i | \(0.846117\pi\) | |||||||
\(878\) | 6.08959 | − | 28.6493i | 0.205514 | − | 0.966866i | ||||
\(879\) | −12.2140 | + | 27.4331i | −0.411968 | + | 0.925295i | ||||
\(880\) | 2.83184 | + | 8.71552i | 0.0954614 | + | 0.293800i | ||||
\(881\) | 17.0931 | − | 52.6072i | 0.575882 | − | 1.77238i | −0.0572751 | − | 0.998358i | \(-0.518241\pi\) |
0.633157 | − | 0.774023i | \(-0.281759\pi\) | |||||||
\(882\) | 11.7234 | + | 1.23218i | 0.394748 | + | 0.0414897i | ||||
\(883\) | 13.6973 | − | 42.1560i | 0.460951 | − | 1.41866i | −0.403052 | − | 0.915177i | \(-0.632051\pi\) |
0.864004 | − | 0.503486i | \(-0.167949\pi\) | |||||||
\(884\) | 3.57669 | − | 3.94252i | 0.120297 | − | 0.132601i | ||||
\(885\) | 64.4257 | − | 28.6842i | 2.16565 | − | 0.964208i | ||||
\(886\) | −32.2564 | − | 10.4807i | −1.08368 | − | 0.352107i | ||||
\(887\) | −27.6308 | + | 30.6871i | −0.927752 | + | 1.03037i | 0.0717047 | + | 0.997426i | \(0.477156\pi\) |
−0.999457 | + | 0.0329475i | \(0.989511\pi\) | |||||||
\(888\) | 7.65909 | + | 72.8714i | 0.257022 | + | 2.44540i | ||||
\(889\) | −0.795155 | − | 0.715960i | −0.0266686 | − | 0.0240125i | ||||
\(890\) | −18.4298 | − | 41.3940i | −0.617768 | − | 1.38753i | ||||
\(891\) | −20.3972 | − | 2.14383i | −0.683332 | − | 0.0718211i | ||||
\(892\) | −14.2050 | + | 1.49301i | −0.475619 | + | 0.0499895i | ||||
\(893\) | 3.09654 | 0.103622 | ||||||||
\(894\) | −17.2366 | −0.576478 | ||||||||
\(895\) | 83.0292 | − | 8.72672i | 2.77536 | − | 0.291702i | ||||
\(896\) | 0.0938260 | + | 0.104204i | 0.00313451 | + | 0.00348122i | ||||
\(897\) | 45.6043 | + | 33.3951i | 1.52268 | + | 1.11503i | ||||
\(898\) | 36.3820 | 1.21408 | ||||||||
\(899\) | 18.5872 | − | 13.3302i | 0.619919 | − | 0.444588i | ||||
\(900\) | 4.94832 | − | 8.57074i | 0.164944 | − | 0.285691i | ||||
\(901\) | 14.5983 | − | 16.2130i | 0.486339 | − | 0.540134i | ||||
\(902\) | 1.80180 | − | 1.62235i | 0.0599935 | − | 0.0540184i | ||||
\(903\) | −0.706151 | + | 1.58604i | −0.0234992 | + | 0.0527801i | ||||
\(904\) | 17.4794 | + | 10.0918i | 0.581358 | + | 0.335647i | ||||
\(905\) | 26.9207 | + | 15.5427i | 0.894876 | + | 0.516657i | ||||
\(906\) | 14.2343 | − | 10.3418i | 0.472903 | − | 0.343584i | ||||
\(907\) | −19.2965 | + | 8.59136i | −0.640730 | + | 0.285271i | −0.701271 | − | 0.712894i | \(-0.747384\pi\) |
0.0605415 | + | 0.998166i | \(0.480717\pi\) | |||||||
\(908\) | 8.78298 | − | 12.0887i | 0.291473 | − | 0.401179i | ||||
\(909\) | 2.39674 | − | 2.66185i | 0.0794949 | − | 0.0882880i | ||||
\(910\) | −1.81063 | − | 0.595816i | −0.0600218 | − | 0.0197511i | ||||
\(911\) | −35.8052 | − | 7.61063i | −1.18628 | − | 0.252151i | −0.427815 | − | 0.903866i | \(-0.640717\pi\) |
−0.758464 | + | 0.651715i | \(0.774050\pi\) | |||||||
\(912\) | 1.62028 | + | 0.526460i | 0.0536527 | + | 0.0174328i | ||||
\(913\) | −1.85439 | + | 17.6434i | −0.0613714 | + | 0.583910i | ||||
\(914\) | −27.9729 | + | 5.94583i | −0.925262 | + | 0.196671i | ||||
\(915\) | −20.3083 | − | 6.59857i | −0.671372 | − | 0.218142i | ||||
\(916\) | −6.71810 | + | 9.24667i | −0.221972 | + | 0.305519i | ||||
\(917\) | −0.585583 | + | 0.527261i | −0.0193376 | + | 0.0174117i | ||||
\(918\) | −1.10179 | + | 5.18353i | −0.0363646 | + | 0.171082i | ||||
\(919\) | −3.46897 | − | 33.0051i | −0.114431 | − | 1.08874i | −0.889523 | − | 0.456890i | \(-0.848963\pi\) |
0.775093 | − | 0.631848i | \(-0.217703\pi\) | |||||||
\(920\) | −23.8409 | − | 73.3749i | −0.786012 | − | 2.41910i | ||||
\(921\) | −27.9916 | + | 38.5271i | −0.922354 | + | 1.26951i | ||||
\(922\) | 3.77650 | + | 2.74379i | 0.124372 | + | 0.0903618i | ||||
\(923\) | 21.1376 | − | 18.8895i | 0.695752 | − | 0.621755i | ||||
\(924\) | 0.249936 | − | 0.432902i | 0.00822229 | − | 0.0142414i | ||||
\(925\) | − | 78.5036i | − | 2.58118i | ||||||
\(926\) | 3.51108 | + | 33.4057i | 0.115381 | + | 1.09778i | ||||
\(927\) | −4.79758 | + | 14.7654i | −0.157573 | + | 0.484961i | ||||
\(928\) | −17.8232 | + | 5.79110i | −0.585075 | + | 0.190102i | ||||
\(929\) | 4.12042 | − | 2.37893i | 0.135187 | − | 0.0780500i | −0.430881 | − | 0.902409i | \(-0.641797\pi\) |
0.566068 | + | 0.824359i | \(0.308464\pi\) | |||||||
\(930\) | −42.6800 | − | 9.34712i | −1.39953 | − | 0.306504i | ||||
\(931\) | 3.82418i | 0.125332i | ||||||||
\(932\) | −6.69738 | + | 7.43819i | −0.219380 | + | 0.243646i | ||||
\(933\) | 7.04835 | − | 1.49817i | 0.230753 | − | 0.0490480i | ||||
\(934\) | −14.3360 | + | 1.50677i | −0.469088 | + | 0.0493031i | ||||
\(935\) | 5.27710 | + | 9.14020i | 0.172580 | + | 0.298917i | ||||
\(936\) | −17.4750 | + | 1.77055i | −0.571188 | + | 0.0578723i | ||||
\(937\) | 0.613926 | + | 5.84111i | 0.0200561 | + | 0.190821i | 0.999963 | − | 0.00863587i | \(-0.00274892\pi\) |
−0.979907 | + | 0.199457i | \(0.936082\pi\) | |||||||
\(938\) | −0.0462013 | − | 0.103770i | −0.00150853 | − | 0.00338821i | ||||
\(939\) | 16.8256 | + | 12.2245i | 0.549083 | + | 0.398932i | ||||
\(940\) | 16.9310 | + | 3.59878i | 0.552227 | + | 0.117379i | ||||
\(941\) | −16.6365 | + | 37.3662i | −0.542334 | + | 1.21810i | 0.409731 | + | 0.912206i | \(0.365623\pi\) |
−0.952065 | + | 0.305896i | \(0.901044\pi\) | |||||||
\(942\) | −31.0145 | + | 10.0772i | −1.01051 | + | 0.328333i | ||||
\(943\) | −6.83379 | + | 6.15318i | −0.222539 | + | 0.200375i | ||||
\(944\) | 5.59804 | + | 12.5734i | 0.182201 | + | 0.409229i | ||||
\(945\) | −1.47085 | + | 0.312638i | −0.0478466 | + | 0.0101701i | ||||
\(946\) | 7.22674 | + | 8.02611i | 0.234962 | + | 0.260951i | ||||
\(947\) | −50.0043 | − | 5.25566i | −1.62492 | − | 0.170786i | −0.752176 | − | 0.658962i | \(-0.770996\pi\) |
−0.872745 | + | 0.488176i | \(0.837663\pi\) | |||||||
\(948\) | −4.41696 | + | 0.938854i | −0.143456 | + | 0.0304926i | ||||
\(949\) | 3.02180 | + | 0.329051i | 0.0980916 | + | 0.0106814i | ||||
\(950\) | −3.70134 | − | 1.64794i | −0.120087 | − | 0.0534663i | ||||
\(951\) | −29.7205 | + | 9.65676i | −0.963752 | + | 0.313142i | ||||
\(952\) | −0.594604 | − | 0.432005i | −0.0192712 | − | 0.0140014i | ||||
\(953\) | −3.88337 | + | 36.9478i | −0.125795 | + | 1.19686i | 0.731431 | + | 0.681915i | \(0.238853\pi\) |
−0.857226 | + | 0.514941i | \(0.827814\pi\) | |||||||
\(954\) | −21.9478 | + | 2.30681i | −0.710587 | + | 0.0746857i | ||||
\(955\) | 41.5258i | 1.34374i | ||||||||
\(956\) | 12.7027 | + | 7.33391i | 0.410835 | + | 0.237196i | ||||
\(957\) | 9.44880 | + | 13.0052i | 0.305436 | + | 0.420397i | ||||
\(958\) | −6.92385 | + | 21.3094i | −0.223699 | + | 0.688476i | ||||
\(959\) | −0.745850 | − | 0.158535i | −0.0240848 | − | 0.00511937i | ||||
\(960\) | 49.6564 | + | 28.6691i | 1.60265 | + | 0.925292i | ||||
\(961\) | −2.86023 | − | 30.8678i | −0.0922653 | − | 0.995734i | ||||
\(962\) | −34.6493 | + | 24.9764i | −1.11714 | + | 0.805272i | ||||
\(963\) | −4.27089 | − | 13.1445i | −0.137628 | − | 0.423574i | ||||
\(964\) | −3.23710 | − | 15.2294i | −0.104260 | − | 0.490504i | ||||
\(965\) | −3.31414 | − | 31.5319i | −0.106686 | − | 1.01505i | ||||
\(966\) | 1.19626 | − | 2.07199i | 0.0384891 | − | 0.0666651i | ||||
\(967\) | 30.5879 | + | 17.6599i | 0.983639 | + | 0.567904i | 0.903367 | − | 0.428869i | \(-0.141088\pi\) |
0.0802723 | + | 0.996773i | \(0.474421\pi\) | |||||||
\(968\) | 13.7362 | + | 18.9063i | 0.441499 | + | 0.607671i | ||||
\(969\) | 1.95135 | + | 0.205095i | 0.0626864 | + | 0.00658861i | ||||
\(970\) | −3.73975 | − | 0.393063i | −0.120076 | − | 0.0126205i | ||||
\(971\) | 6.73842 | + | 1.43229i | 0.216246 | + | 0.0459645i | 0.314761 | − | 0.949171i | \(-0.398076\pi\) |
−0.0985145 | + | 0.995136i | \(0.531409\pi\) | |||||||
\(972\) | −10.7952 | + | 7.84320i | −0.346258 | + | 0.251571i | ||||
\(973\) | 2.10565 | + | 1.89593i | 0.0675039 | + | 0.0607808i | ||||
\(974\) | 1.24816 | − | 0.265304i | 0.0399935 | − | 0.00850089i | ||||
\(975\) | 54.1248 | + | 0.202714i | 1.73338 | + | 0.00649203i | ||||
\(976\) | 1.28778 | − | 3.96339i | 0.0412210 | − | 0.126865i | ||||
\(977\) | −23.1079 | + | 20.8064i | −0.739286 | + | 0.665656i | −0.950127 | − | 0.311865i | \(-0.899046\pi\) |
0.210841 | + | 0.977520i | \(0.432380\pi\) | |||||||
\(978\) | 0.200961 | − | 1.91202i | 0.00642604 | − | 0.0611397i | ||||
\(979\) | 15.1187 | + | 16.7910i | 0.483196 | + | 0.536644i | ||||
\(980\) | −4.44444 | + | 20.9094i | −0.141972 | + | 0.667927i | ||||
\(981\) | 27.6941 | − | 2.91077i | 0.884205 | − | 0.0929337i | ||||
\(982\) | 4.08354 | − | 19.2116i | 0.130311 | − | 0.613065i | ||||
\(983\) | −1.03579 | − | 0.108866i | −0.0330366 | − | 0.00347229i | 0.0879957 | − | 0.996121i | \(-0.471954\pi\) |
−0.121032 | + | 0.992649i | \(0.538620\pi\) | |||||||
\(984\) | 0.859095 | − | 8.17374i | 0.0273869 | − | 0.260569i | ||||
\(985\) | 68.9834 | + | 30.7134i | 2.19800 | + | 0.978611i | ||||
\(986\) | 6.27513 | − | 3.62295i | 0.199841 | − | 0.115378i | ||||
\(987\) | 0.875467 | + | 1.51635i | 0.0278664 | + | 0.0482661i | ||||
\(988\) | −0.356788 | − | 1.71002i | −0.0113509 | − | 0.0544031i | ||||
\(989\) | −27.4092 | − | 30.4411i | −0.871563 | − | 0.967969i | ||||
\(990\) | 2.21968 | − | 10.4428i | 0.0705461 | − | 0.331893i | ||||
\(991\) | −15.0183 | + | 26.0124i | −0.477071 | + | 0.826312i | −0.999655 | − | 0.0262766i | \(-0.991635\pi\) |
0.522584 | + | 0.852588i | \(0.324968\pi\) | |||||||
\(992\) | −5.43370 | + | 24.8109i | −0.172520 | + | 0.787746i | ||||
\(993\) | − | 27.3861i | − | 0.869071i | ||||||
\(994\) | −0.891699 | − | 0.802889i | −0.0282830 | − | 0.0254661i | ||||
\(995\) | −65.0495 | − | 21.1359i | −2.06221 | − | 0.670052i | ||||
\(996\) | 10.8363 | + | 14.9149i | 0.343361 | + | 0.472596i | ||||
\(997\) | −22.1899 | + | 38.4340i | −0.702761 | + | 1.21722i | 0.264732 | + | 0.964322i | \(0.414716\pi\) |
−0.967493 | + | 0.252896i | \(0.918617\pi\) | |||||||
\(998\) | 5.36466 | + | 9.29186i | 0.169815 | + | 0.294129i | ||||
\(999\) | −13.7050 | + | 30.7820i | −0.433608 | + | 0.973899i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 403.2.bt.a.82.12 | yes | 280 | |
13.10 | even | 6 | 403.2.bp.a.361.24 | yes | 280 | ||
31.14 | even | 15 | 403.2.bp.a.355.24 | ✓ | 280 | ||
403.231 | even | 30 | inner | 403.2.bt.a.231.12 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bp.a.355.24 | ✓ | 280 | 31.14 | even | 15 | ||
403.2.bp.a.361.24 | yes | 280 | 13.10 | even | 6 | ||
403.2.bt.a.82.12 | yes | 280 | 1.1 | even | 1 | trivial | |
403.2.bt.a.231.12 | yes | 280 | 403.231 | even | 30 | inner |